2834 SQUARES OF NUMBERS To find the square of a given whole number, divide the number by 10 and find the row in the first column that contains the whole number portion of the result. The selected row contains the square of given number under the column corresponding to the last digit in the number. Example:The square of 673, found in row labeled 67, under column labeled 3, is given as 452,929. 51 260100 261121 262144 263169 264196 265225 266256 267289 268324 269361 52 270400 271441 272484 273529 274576 275625 276676 277729 278784 279841 53 280900 281961 283024 284089 285156 286225 287296 288369 289444 290521 54 291600 292681 293764 294849 295936 297025 298116 299209 300304 301401 55 302500 303601 304704 305809 306916 308025 309136 310249 311364 312481 56 313600 314721 315844 316969 318096 319225 320356 321489 322624 323761 57 324900 326041 327184 328329 329476 330625 331776 332929 334084 335241 58 336400 337561 338724 339889 341056 342225 343396 344569 345744 346921 59 348100 349281 350464 351649 352836 354025 355216 356409 357604 358801 60 360000 361201 362404 363609 364816 366025 367236 368449 369664 370881 61 372100 373321 374544 375769 376996 378225 379456 380689 381924 383161 62 384400 385641 386884 388129 389376 390625 391876 393129 394384 395641 63 396900 398161 399424 400689 401956 403225 404496 405769 407044 408321 64 409600 410881 412164 413449 414736 416025 417316 418609 419904 421201 65 422500 423801 425104 426409 427716 429025 430336 431649 432964 434281 66 435600 436921 438244 439569 440896 442225 443556 444889 446224 447561 67 448900 450241 451584 452929 454276 455625 456976 458329 459684 461041 68 462400 463761 465124 466489 467856 469225 470596 471969 473344 474721 69 476100 477481 478864 480249 481636 483025 484416 485809 487204 488601 70 490000 491401 492804 494209 495616 497025 498436 499849 501264 502681 71 504100 505521 506944 508369 509796 511225 512656 514089 515524 516961 72 518400 519841 521284 522729 524176 525625 527076 528529 529984 531441 73 532900 534361 535824 537289 538756 540225 541696 543169 544644 546121 74 547600 549081 550564 552049 553536 555025 556516 558009 559504 561001 75 562500 564001 565504 567009 568516 570025 571536 573049 574564 576081 76 577600 579121 580644 582169 583696 585225 586756 588289 589824 591361 77 592900 594441 595984 597529 599076 600625 602176 603729 605284 606841 78 608400 609961 611524 613089 614656 616225 617796 619369 620944 622521 79 624100 625681 627264 628849 630436 632025 633616 635209 636804 638401 80 640000 641601 643204 644809 646416 648025 649636 651249 652864 654481 81 656100 657721 659344 660969 662596 664225 665856 667489 669124 670761 82 672400 674041 675684 677329 678976 680625 682276 683929 685584 687241 83 688900 690561 692224 693889 695556 697225 698896 700569 702244 703921 84 705600 707281 708964 710649 712336 714025 715716 717409 719104 720801 85 722500 724201 725904 727609 729316 731025 732736 734449 736164 737881 86 739600 741321 743044 744769 746496 748225 749956 751689 753424 755161 87 756900 758641 760384 762129 763876 765625 767376 769129 770884 772641 88 774400 776161 777924 779689 781456 783225 784996 786769 788544 790321 89 792100 793881 795664 797449 799236 801025 802816 804609 806404 808201 90 810000 811801 813604 815409 817216 819025 820836 822649 824464 826281 91 828100 829921 831744 833569 835396 837225 839056 840889 842724 844561 92 846400 848241 850084 851929 853776 855625 857476 859329 861184 863041 93 864900 866761 868624 870489 872356 874225 876096 877969 879844 881721 94 883600 885481 887364 889249 891136 893025 894916 896809 898704 900601 95 902500 904401 906304 908209 910116 912025 913936 915849 917764 919681 96 921600 923521 925444 927369 929296 931225 933156 935089 937024 938961 97 940900 942841 944784 946729 948676 950625 952576 954529 956484 958441 98 960400 962361 964324 966289 968256 970225 972196 974169 976144 978121 99 980100 982081 984064 986049 988036 990025 992016 994009 996004 998001 Squares of Numbers from 1 to 999 0123456789 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY SQUARES OF MIXED NUMBERS 2835 Squares of Mixed Numbers from 1 ⁄ 64 to 6, by 64ths No.012345 1 ⁄ 64 0.00024 1.03149 4.06274 9.09399 16.12524 25.15649 1 ⁄ 32 0.00098 1.06348 4.12598 9.18848 16.25098 25.31348 3 ⁄ 64 0.00220 1.09595 4.18970 9.28345 16.37720 25.47095 1 ⁄ 16 0.00391 1.12891 4.25391 9.37891 16.50391 25.62891 5 ⁄ 64 0.00610 1.16235 4.31860 9.47485 16.63110 25.78735 3 ⁄ 32 0.00879 1.19629 4.38379 9.57129 16.75879 25.94629 7 ⁄ 64 0.01196 1.23071 4.44946 9.66821 16.88696 26.10571 1 ⁄ 8 0.01563 1.26563 4.51563 9.76563 17.01563 26.26563 9 ⁄ 64 0.01978 1.30103 4.58228 9.86353 17.14478 26.42603 5 ⁄ 32 0.02441 1.33691 4.64941 9.96191 17.27441 26.58691 11 ⁄ 64 0.02954 1.37329 4.71704 10.06079 17.40454 26.74829 3 ⁄ 16 0.03516 1.41016 4.78516 10.16016 17.53516 26.91016 13 ⁄ 64 0.04126 1.44751 4.85376 10.26001 17.66626 27.07251 7 ⁄ 32 0.04785 1.48535 4.92285 10.36035 17.79785 27.23535 15 ⁄ 64 0.05493 1.52368 4.99243 10.46118 17.92993 27.39868 1 ⁄ 4 0.06250 1.56250 5.06250 10.56250 18.06250 27.56250 17 ⁄ 64 0.07056 1.60181 5.13306 10.66431 18.19556 27.72681 9 ⁄ 32 0.07910 1.64160 5.20410 10.76660 18.32910 27.89160 19 ⁄ 64 0.08813 1.68188 5.27563 10.86938 18.46313 28.05688 5 ⁄ 16 0.09766 1.72266 5.34766 10.97266 18.59766 28.22266 21 ⁄ 64 0.10767 1.76392 5.42017 11.07642 18.73267 28.38892 11 ⁄ 32 0.11816 1.80566 5.49316 11.18066 18.86816 28.55566 23 ⁄ 64 0.12915 1.84790 5.56665 11.28540 19.00415 28.72290 3 ⁄ 8 0.14063 1.89063 5.64063 11.39063 19.14063 28.89063 25 ⁄ 64 0.15259 1.93384 5.71509 11.49634 19.27759 29.05884 13 ⁄ 32 0.16504 1.97754 5.79004 11.60254 19.41504 29.22754 27 ⁄ 64 0.17798 2.02173 5.86548 11.70923 19.55298 29.39673 7 ⁄ 16 0.19141 2.06641 5.94141 11.81641 19.69141 29.56641 29 ⁄ 64 0.20532 2.11157 6.01782 11.92407 19.83032 29.73657 15 ⁄ 32 0.21973 2.15723 6.09473 12.03223 19.96973 29.90723 31 ⁄ 64 0.23462 2.20337 6.17212 12.14087 20.10962 30.07837 1 ⁄ 2 0.25000 2.25000 6.25000 12.25000 20.25000 30.25000 33 ⁄ 64 0.26587 2.29712 6.32837 12.35962 20.39087 30.42212 17 ⁄ 32 0.28223 2.34473 6.40723 12.46973 20.53223 30.59473 35 ⁄ 64 0.29907 2.39282 6.48657 12.58032 20.67407 30.76782 9 ⁄ 16 0.31641 2.44141 6.56641 12.69141 20.81641 30.94141 37 ⁄ 64 0.33423 2.49048 6.64673 12.80298 20.95923 31.11548 19 ⁄ 32 0.35254 2.54004 6.72754 12.91504 21.10254 31.29004 39 ⁄ 64 0.37134 2.59009 6.80884 13.02759 21.24634 31.46509 5 ⁄ 8 0.39063 2.64063 6.89063 13.14063 21.39063 31.64063 41 ⁄ 64 0.41040 2.69165 6.97290 13.25415 21.53540 31.81665 21 ⁄ 32 0.43066 2.74316 7.05566 13.36816 21.68066 31.99316 43 ⁄ 64 0.45142 2.79517 7.13892 13.48267 21.82642 32.17017 11 ⁄ 16 0.47266 2.84766 7.22266 13.59766 21.97266 32.34766 45 ⁄ 64 0.49438 2.90063 7.30688 13.71313 22.11938 32.52563 23 ⁄ 32 0.51660 2.95410 7.39160 13.82910 22.26660 32.70410 47 ⁄ 64 0.53931 3.00806 7.47681 13.94556 22.41431 32.88306 3 ⁄ 4 0.56250 3.06250 7.56250 14.06250 22.56250 33.06250 49 ⁄ 64 0.58618 3.11743 7.64868 14.17993 22.71118 33.24243 25 ⁄ 32 0.61035 3.17285 7.73535 14.29785 22.86035 33.42285 51 ⁄ 64 0.63501 3.22876 7.82251 14.41626 23.01001 33.60376 13 ⁄ 16 0.66016 3.28516 7.91016 14.53516 23.16016 33.78516 53 ⁄ 64 0.68579 3.34204 7.99829 14.65454 23.31079 33.96704 27 ⁄ 32 0.71191 3.39941 8.08691 14.77441 23.46191 34.14941 55 ⁄ 64 0.73853 3.45728 8.17603 14.89478 23.61353 34.33228 7 ⁄ 8 0.76563 3.51563 8.26563 15.01563 23.76563 34.51563 57 ⁄ 64 0.79321 3.57446 8.35571 15.13696 23.91821 34.69946 29 ⁄ 32 0.82129 3.63379 8.44629 15.25879 24.07129 34.88379 59 ⁄ 64 0.84985 3.69360 8.53735 15.38110 24.22485 35.06860 15 ⁄ 16 0.87891 3.75391 8.62891 15.50391 24.37891 35.25391 61 ⁄ 64 0.90845 3.81470 8.72095 15.62720 24.53345 35.43970 31 ⁄ 32 0.93848 3.87598 8.81348 15.75098 24.68848 35.62598 63 ⁄ 64 0.96899 3.93774 8.90649 15.87524 24.84399 35.81274 1 1.00000 4.00000 9.00000 16.00000 25.00000 36.00000 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY 2836 SQUARES OF MIXED NUMBERS Squares of Mixed Numbers from 6 1 ⁄ 64 to 12, by 64ths No.67891011 1 ⁄ 64 36.18774 49.21899 64.25024 81.28149 100.31274 121.34399 1 ⁄ 32 36.37598 49.43848 64.50098 81.56348 100.62598 121.68848 3 ⁄ 64 36.56470 49.65845 64.75220 81.84595 100.93970 122.03345 1 ⁄ 16 36.75391 49.87891 65.00391 82.12891 101.25391 122.37891 5 ⁄ 64 36.94360 50.09985 65.25610 82.41235 101.56860 122.72485 3 ⁄ 32 37.13379 50.32129 65.50879 82.69629 101.88379 123.07129 7 ⁄ 64 37.32446 50.54321 65.76196 82.98071 102.19946 123.41821 1 ⁄ 8 37.51563 50.76563 66.01563 83.26563 102.51563 123.76563 9 ⁄ 64 37.70728 50.98853 66.26978 83.55103 102.83228 124.11353 5 ⁄ 32 37.89941 51.21191 66.52441 83.83691 103.14941 124.46191 11 ⁄ 64 38.09204 51.43579 66.77954 84.12329 103.46704 124.81079 3 ⁄ 16 38.28516 51.66016 67.03516 84.41016 103.78516 125.16016 13 ⁄ 64 38.47876 51.88501 67.29126 84.69751 104.10376 125.51001 7 ⁄ 32 38.67285 52.11035 67.54785 84.98535 104.42285 125.86035 15 ⁄ 64 38.86743 52.33618 67.80493 85.27368 104.74243 126.21118 1 ⁄ 4 39.06250 52.56250 68.06250 85.56250 105.06250 126.56250 17 ⁄ 64 39.25806 52.78931 68.32056 85.85181 105.38306 126.91431 9 ⁄ 32 39.45410 53.01660 68.57910 86.14160 105.70410 127.26660 19 ⁄ 64 39.65063 53.24438 68.83813 86.43188 106.02563 127.61938 5 ⁄ 16 39.84766 53.47266 69.09766 86.72266 106.34766 127.97266 21 ⁄ 64 40.04517 53.70142 69.35767 87.01392 106.67017 128.32642 11 ⁄ 32 40.24316 53.93066 69.61816 87.30566 106.99316 128.68066 23 ⁄ 64 40.44165 54.16040 69.87915 87.59790 107.31665 129.03540 3 ⁄ 8 40.64063 54.39063 70.14063 87.89063 107.64063 129.39063 25 ⁄ 64 40.84009 54.62134 70.40259 88.18384 107.96509 129.74634 13 ⁄ 32 41.04004 54.85254 70.66504 88.47754 108.29004 130.10254 27 ⁄ 64 41.24048 55.08423 70.92798 88.77173 108.61548 130.45923 7 ⁄ 16 41.44141 55.31641 71.19141 89.06641 108.94141 130.81641 29 ⁄ 64 41.64282 55.54907 71.45532 89.36157 109.26782 131.17407 15 ⁄ 32 41.84473 55.78223 71.71973 89.65723 109.59473 131.53223 31 ⁄ 64 42.04712 56.01587 71.98462 89.95337 109.92212 131.89087 1 ⁄ 2 42.25000 56.25000 72.25000 90.25000 110.25000 132.25000 33 ⁄ 64 42.45337 56.48462 72.51587 90.54712 110.57837 132.60962 17 ⁄ 32 42.65723 56.71973 72.78223 90.84473 110.90723 132.96973 35 ⁄ 64 42.86157 56.95532 73.04907 91.14282 111.23657 133.33032 9 ⁄ 16 43.06641 57.19141 73.31641 91.44141 111.56641 133.69141 37 ⁄ 64 43.27173 57.42798 73.58423 91.74048 111.89673 134.05298 19 ⁄ 32 43.47754 57.66504 73.85254 92.04004 112.22754 134.41504 39 ⁄ 64 43.68384 57.90259 74.12134 92.34009 112.55884 134.77759 5 ⁄ 8 43.89063 58.14063 74.39063 92.64063 112.89063 135.14063 41 ⁄ 64 44.09790 58.37915 74.66040 92.94165 113.22290 135.50415 21 ⁄ 32 44.30566 58.61816 74.93066 93.24316 113.55566 135.86816 43 ⁄ 64 44.51392 58.85767 75.20142 93.54517 113.88892 136.23267 11 ⁄ 16 44.72266 59.09766 75.47266 93.84766 114.22266 136.59766 45 ⁄ 64 44.93188 59.33813 75.74438 94.15063 114.55688 136.96313 23 ⁄ 32 45.14160 59.57910 76.01660 94.45410 114.89160 137.32910 47 ⁄ 64 45.35181 59.82056 76.28931 94.75806 115.22681 137.69556 3 ⁄ 4 45.56250 60.06250 76.56250 95.06250 115.56250 138.06250 49 ⁄ 64 45.77368 60.30493 76.83618 95.36743 115.89868 138.42993 25 ⁄ 32 45.98535 60.54785 77.11035 95.67285 116.23535 138.79785 51 ⁄ 64 46.19751 60.79126 77.38501 95.97876 116.57251 139.16626 13 ⁄ 16 46.41016 61.03516 77.66016 96.28516 116.91016 139.53516 53 ⁄ 64 46.62329 61.27954 77.93579 96.59204 117.24829 139.90454 27 ⁄ 32 46.83691 61.52441 78.21191 96.89941 117.58691 140.27441 55 ⁄ 64 47.05103 61.76978 78.48853 97.20728 117.92603 140.64478 7 ⁄ 8 47.26563 62.01563 78.76563 97.51563 118.26563 141.01563 57 ⁄ 64 47.48071 62.26196 79.04321 97.82446 118.60571 141.38696 29 ⁄ 32 47.69629 62.50879 79.32129 98.13379 118.94629 141.75879 59 ⁄ 64 47.91235 62.75610 79.59985 98.44360 119.28735 142.13110 15 ⁄ 16 48.12891 63.00391 79.87891 98.75391 119.62891 142.50391 61 ⁄ 64 48.34595 63.25220 80.15845 99.06470 119.97095 142.87720 31 ⁄ 32 48.56348 63.50098 80.43848 99.37598 120.31348 143.25098 63 ⁄ 64 48.78149 63.75024 80.71899 99.68774 120.65649 143.62524 1 49.00000 64.00000 81.00000 100.00000 121.00000 144.00000 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY SQUARES AND CUBES OF NUMBERS 2837 Squares and Cubes of Fractions Squares and Cubes of Numbers from 1 ⁄ 32 to 6 15 ⁄ 16 No. Square Cube No. Square Cube No. Square Cube 1 ⁄ 32 0.00098 0.00003 1 17 ⁄ 32 2.34473 3.59036 4 16.00000 64.00000 1 ⁄ 16 0.00391 0.00024 1 9 ⁄ 16 2.44141 3.81470 4 1 ⁄ 16 16.50391 67.04712 3 ⁄ 32 0.00879 0.00082 1 19 ⁄ 32 2.54004 4.04819 4 1 ⁄ 8 17.01563 70.18945 1 ⁄ 8 0.01563 0.00195 1 5 ⁄ 8 2.64063 4.29102 4 3 ⁄ 16 17.53516 73.42847 5 ⁄ 32 0.02441 0.00381 1 21 ⁄ 32 2.74316 4.54337 4 1 ⁄ 4 18.06250 76.76563 3 ⁄ 16 0.03516 0.00659 1 11 ⁄ 16 2.84766 4.80542 4 5 ⁄ 16 18.59766 80.20239 7 ⁄ 32 0.04785 0.01047 1 23 ⁄ 32 2.95410 5.07736 4 3 ⁄ 8 19.14063 83.74023 1 ⁄ 4 0.06250 0.01563 1 3 ⁄ 4 3.06250 5.35938 4 7 ⁄ 16 19.69141 87.38062 9 ⁄ 32 0.07910 0.02225 1 25 ⁄ 32 3.17285 5.65164 4 1 ⁄ 2 20.25000 91.12500 5 ⁄ 16 0.09766 0.03052 1 13 ⁄ 16 3.28516 5.95435 4 9 ⁄ 16 20.81641 94.97485 11 ⁄ 32 0.11816 0.04062 1 27 ⁄ 32 3.39941 6.26767 4 5 ⁄ 8 21.39063 98.93164 3 ⁄ 8 0.14063 0.05273 1 7 ⁄ 8 3.51563 6.59180 4 11 ⁄ 16 21.97266 102.99683 13 ⁄ 32 0.16504 0.06705 1 29 ⁄ 32 3.63379 6.92691 4 3 ⁄ 4 22.56250 107.17188 7 ⁄ 16 0.19141 0.08374 1 15 ⁄ 16 3.75391 7.27319 4 13 ⁄ 16 23.16016 111.45825 15 ⁄ 32 0.21973 0.10300 1 31 ⁄ 32 3.87598 7.63083 4 7 ⁄ 8 23.76563 115.85742 1 ⁄ 2 0.25000 0.12500 2 4.00000 8.00000 4 15 ⁄ 16 24.37891 120.37085 17 ⁄ 32 0.28223 0.14993 2 1 ⁄ 32 4.12598 8.38089 5 25.00000 125.00000 9 ⁄ 16 0.31641 0.17798 2 1 ⁄ 16 4.25391 8.77368 5 1 ⁄ 16 25.62891 129.74634 19 ⁄ 32 0.35254 0.20932 2 1 ⁄ 8 4.51563 9.59570 5 1 ⁄ 8 26.26563 134.61133 5 ⁄ 8 0.39063 0.24414 2 3 ⁄ 16 4.78516 10.46753 5 3 ⁄ 16 26.91016 139.59644 21 ⁄ 32 0.43066 0.28262 2 1 ⁄ 4 5.06250 11.39063 5 1 ⁄ 4 27.56250 144.70313 11 ⁄ 16 0.47266 0.32495 2 5 ⁄ 16 5.34766 12.36646 5 5 ⁄ 16 28.22266 149.93286 23 ⁄ 32 0.51660 0.37131 2 3 ⁄ 8 5.64063 13.39648 5 3 ⁄ 8 28.89063 155.28711 3 ⁄ 4 0.56250 0.42188 2 7 ⁄ 16 5.94141 14.48218 5 7 ⁄ 16 29.56641 160.76733 25 ⁄ 32 0.61035 0.47684 2 1 ⁄ 2 6.25000 15.62500 5 1 ⁄ 2 30.25000 166.37500 13 ⁄ 16 0.66016 0.53638 2 9 ⁄ 16 6.56641 16.82642 5 9 ⁄ 16 30.94141 172.11157 27 ⁄ 32 0.71191 0.60068 2 5 ⁄ 8 6.89063 18.08789 5 5 ⁄ 8 31.64063 177.97852 7 ⁄ 8 0.76563 0.66992 2 11 ⁄ 16 7.22266 19.41089 5 11 ⁄ 16 32.34766 183.97729 29 ⁄ 32 0.82129 0.74429 2 3 ⁄ 4 7.56250 20.79688 5 3 ⁄ 4 33.06250 190.10938 15 ⁄ 16 0.87891 0.82397 2 13 ⁄ 16 7.91016 22.24731 5 13 ⁄ 16 33.78516 196.37622 31 ⁄ 32 0.93848 0.90915 2 7 ⁄ 8 8.26563 23.76367 5 7 ⁄ 8 34.51563 202.77930 1 1.00000 1.00000 2 15 ⁄ 16 8.62891 25.34741 5 15 ⁄ 16 35.25391 209.32007 1 1 ⁄ 32 1.06348 1.09671 3 9.00000 27.00000 6 36.00000 216.00000 1 1 ⁄ 16 1.12891 1.19946 3 1 ⁄ 16 9.37891 28.72290 6 1 ⁄ 16 36.75391 222.82056 1 3 ⁄ 32 1.19629 1.30844 3 1 ⁄ 8 9.76563 30.51758 6 1 ⁄ 8 37.51563 229.78320 1 1 ⁄ 8 1.26563 1.42383 3 3 ⁄ 16 10.16016 32.38550 6 3 ⁄ 16 38.28516 236.88940 1 5 ⁄ 32 1.33691 1.54581 3 1 ⁄ 4 10.56250 34.32813 6 1 ⁄ 4 39.06250 244.14063 1 3 ⁄ 16 1.41016 1.67456 3 5 ⁄ 16 10.97266 36.34692 6 5 ⁄ 16 39.84766 251.53833 1 7 ⁄ 32 1.48535 1.81027 3 3 ⁄ 8 11.39063 38.44336 6 3 ⁄ 8 40.64063 259.08398 1 1 ⁄ 4 1.56250 1.95313 3 7 ⁄ 16 11.81641 40.61890 6 7 ⁄ 16 41.44141 266.77905 1 9 ⁄ 32 1.64160 2.10330 3 1 ⁄ 2 12.25000 42.87500 6 1 ⁄ 2 42.25000 274.62500 1 5 ⁄ 16 1.72266 2.26099 3 9 ⁄ 16 12.69141 45.21313 6 9 ⁄ 16 43.06641 282.62329 1 11 ⁄ 32 1.80566 2.42636 3 5 ⁄ 8 13.14063 47.63477 6 5 ⁄ 8 43.89063 290.77539 1 3 ⁄ 8 1.89063 2.59961 3 11 ⁄ 16 13.59766 50.14136 6 11 ⁄ 16 44.72266 299.08276 1 13 ⁄ 32 1.97754 2.78091 3 3 ⁄ 4 14.06250 52.73438 6 3 ⁄ 4 45.56250 307.54688 1 7 ⁄ 16 2.06641 2.97046 3 13 ⁄ 16 14.53516 55.41528 6 13 ⁄ 16 46.41016 316.16919 1 15 ⁄ 32 2.15723 3.16843 3 7 ⁄ 8 15.01563 58.18555 6 7 ⁄ 8 47.26563 324.95117 1 1 ⁄ 2 2.25000 3.37500 3 15 ⁄ 16 15.50391 61.04663 6 15 ⁄ 16 48.12891 333.89429 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY 2838 SQUARES AND CUBES OF NUMBERS Squares and Cubes of Numbers from 7 to 21 7 ⁄ 8 No. Square Cube No. Square Cube No. Square Cube 7 49.00000 343.00000 10 100.00000 1000.00000 16 256.00000 4096.00000 1 ⁄ 16 49.87891 352.26978 1 ⁄ 8 102.51563 1037.97070 1 ⁄ 8 260.01563 4192.75195 1 ⁄ 8 50.76563 361.70508 1 ⁄ 4 105.06250 1076.89063 1 ⁄ 4 264.06250 4291.01563 3 ⁄ 16 51.66016 371.30737 3 ⁄ 8 107.64063 1116.77148 3 ⁄ 8 268.14063 4390.80273 1 ⁄ 4 52.56250 381.07813 1 ⁄ 2 110.25000 1157.62500 1 ⁄ 2 272.25000 4492.12500 5 ⁄ 16 53.47266 391.01880 5 ⁄ 8 112.89063 1199.46289 5 ⁄ 8 276.39063 4594.99414 3 ⁄ 8 54.39063 401.13086 3 ⁄ 4 115.56250 1242.29688 3 ⁄ 4 280.56250 4699.42188 7 ⁄ 16 55.31641 411.41577 7 ⁄ 8 118.26563 1286.13867 7 ⁄ 8 284.76563 4805.41992 1 ⁄ 2 56.25000 421.87500 11 121.00000 1331.00000 17 289.00000 4913.00000 9 ⁄ 16 57.19141 432.51001 1 ⁄ 8 123.76563 1376.89258 1 ⁄ 8 293.26563 5022.17383 5 ⁄ 8 58.14063 443.32227 1 ⁄ 4 126.56250 1423.82813 1 ⁄ 4 297.56250 5132.95313 11 ⁄ 16 59.09766 454.31323 3 ⁄ 8 129.39063 1471.81836 3 ⁄ 8 301.89063 5245.34961 3 ⁄ 4 60.06250 465.48438 1 ⁄ 2 132.25000 1520.87500 1 ⁄ 2 306.25000 5359.37500 13 ⁄ 16 61.03516 476.83716 5 ⁄ 8 135.14063 1571.00977 5 ⁄ 8 310.64063 5475.04102 7 ⁄ 8 62.01563 488.37305 3 ⁄ 4 138.06250 1622.23438 3 ⁄ 4 315.06250 5592.35938 15 ⁄ 16 63.00391 500.09351 7 ⁄ 8 141.01563 1674.56055 7 ⁄ 8 319.51563 5711.34180 8 64.00000 512.00000 12 144.00000 1728.00000 18 324.00000 5832.00000 1 ⁄ 16 65.00391 524.09399 1 ⁄ 8 147.01563 1782.56445 1 ⁄ 8 328.51563 5954.34570 1 ⁄ 8 66.01563 536.37695 1 ⁄ 4 150.06250 1838.26563 1 ⁄ 4 333.06250 6078.39063 3 ⁄ 16 67.03516 548.85034 3 ⁄ 8 153.14063 1895.11523 3 ⁄ 8 337.64063 6204.14648 1 ⁄ 4 68.06250 561.51563 1 ⁄ 2 156.25000 1953.12500 1 ⁄ 2 342.25000 6331.62500 5 ⁄ 16 69.09766 574.37427 5 ⁄ 8 159.39063 2012.30664 5 ⁄ 8 346.89063 6460.83789 3 ⁄ 8 70.14063 587.42773 3 ⁄ 4 162.56250 2072.67188 3 ⁄ 4 351.56250 6591.79688 7 ⁄ 16 71.19141 600.67749 7 ⁄ 8 165.76563 2134.23242 7 ⁄ 8 356.26563 6724.51367 1 ⁄ 2 72.25000 614.12500 13 169.00000 2197.00000 19 361.00000 6859.00000 9 ⁄ 16 73.31641 627.77173 1 ⁄ 8 172.26563 2260.98633 1 ⁄ 8 365.76563 6995.26758 5 ⁄ 8 74.39063 641.61914 1 ⁄ 4 175.56250 2326.20313 1 ⁄ 4 370.56250 7133.32813 11 ⁄ 16 75.47266 655.66870 3 ⁄ 8 178.89063 2392.66211 3 ⁄ 8 375.39063 7273.19336 3 ⁄ 4 76.56250 669.92188 1 ⁄ 2 182.25000 2460.37500 1 ⁄ 2 380.25000 7414.87500 13 ⁄ 16 77.66016 684.38013 5 ⁄ 8 185.64063 2529.35352 5 ⁄ 8 385.14063 7558.38477 7 ⁄ 8 78.76563 699.04492 3 ⁄ 4 189.06250 2599.60938 3 ⁄ 4 390.06250 7703.73438 15 ⁄ 16 79.87891 713.91772 7 ⁄ 8 192.51563 2671.15430 7 ⁄ 8 395.01563 7850.93555 9 81.00000 729.00000 14 196.00000 2744.00000 20 400.00000 8000.00000 1 ⁄ 16 82.12891 744.29321 1 ⁄ 8 199.51563 2818.15820 1 ⁄ 8 405.01563 8150.93945 1 ⁄ 8 83.26563 759.79883 1 ⁄ 4 203.06250 2893.64063 1 ⁄ 4 410.06250 8303.76563 3 ⁄ 16 84.41016 775.51831 3 ⁄ 8 206.64063 2970.45898 3 ⁄ 8 415.14063 8458.49023 1 ⁄ 4 85.56250 791.45313 1 ⁄ 2 210.25000 3048.62500 1 ⁄ 2 420.25000 8615.12500 5 ⁄ 16 86.72266 807.60474 5 ⁄ 8 213.89063 3128.15039 5 ⁄ 8 425.39063 8773.68164 3 ⁄ 8 87.89063 823.97461 3 ⁄ 4 217.56250 3209.04688 3 ⁄ 4 430.56250 8934.17188 7 ⁄ 16 89.06641 840.56421 7 ⁄ 8 221.26563 3291.32617 7 ⁄ 8 435.76563 9096.60742 1 ⁄ 2 90.25000 857.37500 15 225.00000 3375.00000 21 441.00000 9261.00000 9 ⁄ 16 91.44141 874.40845 1 ⁄ 8 228.76563 3460.08008 1 ⁄ 8 446.26563 9427.36133 5 ⁄ 8 92.64063 891.66602 1 ⁄ 4 232.56250 3546.57813 1 ⁄ 4 451.56250 9595.70313 11 ⁄ 16 93.84766 909.14917 3 ⁄ 8 236.39063 3634.50586 3 ⁄ 8 456.89063 9766.03711 3 ⁄ 4 95.06250 926.85938 1 ⁄ 2 240.25000 3723.87500 1 ⁄ 2 462.25000 9938.37500 13 ⁄ 16 96.28516 944.79810 5 ⁄ 8 244.14063 3814.69727 5 ⁄ 8 467.64063 10112.72852 7 ⁄ 8 97.51563 962.96680 3 ⁄ 4 248.06250 3906.98438 3 ⁄ 4 473.06250 10289.10938 15 ⁄ 16 98.75391 981.36694 7 ⁄ 8 252.01563 4000.74805 7 ⁄ 8 478.51563 10467.52930 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY SQUARES AND CUBES OF NUMBERS 2839 Squares and Cubes of Numbers from 22 to 39 7 ⁄ 8 No. Square Cube No. Square Cube No. Square Cube 22 484.00000 10648.00000 28 784.00000 21952.00000 34 1156.00000 39304.00000 1 ⁄ 8 489.51563 10830.53320 1 ⁄ 8 791.01563 22247.31445 1 ⁄ 8 1164.51563 39739.09570 1 ⁄ 4 495.06250 11015.14063 1 ⁄ 4 798.06250 22545.26563 1 ⁄ 4 1173.06250 40177.39063 3 ⁄ 8 500.64063 11201.83398 3 ⁄ 8 805.14063 22845.86523 3 ⁄ 8 1181.64063 40618.89648 1 ⁄ 2 506.25000 11390.62500 1 ⁄ 2 812.25000 23149.12500 1 ⁄ 2 1190.25000 41063.62500 5 ⁄ 8 511.89063 11581.52539 5 ⁄ 8 819.39063 23455.05664 5 ⁄ 8 1198.89063 41511.58789 3 ⁄ 4 517.56250 11774.54688 3 ⁄ 4 826.56250 23763.67188 3 ⁄ 4 1207.56250 41962.79688 7 ⁄ 8 523.26563 11969.70117 7 ⁄ 8 833.76563 24074.98242 7 ⁄ 8 1216.26563 42417.26367 23 529.00000 12167.00000 29 841.00000 24389.00000 35 1225.00000 42875.00000 1 ⁄ 8 534.76563 12366.45508 1 ⁄ 8 848.26563 24705.73633 1 ⁄ 8 1233.76563 43336.01758 1 ⁄ 4 540.56250 12568.07813 1 ⁄ 4 855.56250 25025.20313 1 ⁄ 4 1242.56250 43800.32813 3 ⁄ 8 546.39063 12771.88086 3 ⁄ 8 862.89063 25347.41211 3 ⁄ 8 1251.39063 44267.94336 1 ⁄ 2 552.25000 12977.87500 1 ⁄ 2 870.25000 25672.37500 1 ⁄ 2 1260.25000 44738.87500 5 ⁄ 8 558.14063 13186.07227 5 ⁄ 8 877.64063 26000.10352 5 ⁄ 8 1269.14063 45213.13477 3 ⁄ 4 564.06250 13396.48438 3 ⁄ 4 885.06250 26330.60938 3 ⁄ 4 1278.06250 45690.73438 7 ⁄ 8 570.01563 13609.12305 7 ⁄ 8 892.51563 26663.90430 7 ⁄ 8 1287.01563 46171.68555 24 576.00000 13824.00000 30 900.00000 27000.00000 36 1296.00000 46656.00000 1 ⁄ 8 582.01563 14041.12695 1 ⁄ 8 907.51563 27338.90820 1 ⁄ 8 1305.01563 47143.68945 1 ⁄ 4 588.06250 14260.51563 1 ⁄ 4 915.06250 27680.64063 1 ⁄ 4 1314.06250 47634.76563 3 ⁄ 8 594.14063 14482.17773 3 ⁄ 8 922.64063 28025.20898 3 ⁄ 8 1323.14063 48129.24023 1 ⁄ 2 600.25000 14706.12500 1 ⁄ 2 930.25000 28372.62500 1 ⁄ 2 1332.25000 48627.12500 5 ⁄ 8 606.39063 14932.36914 5 ⁄ 8 937.89063 28722.90039 5 ⁄ 8 1341.39063 49128.43164 3 ⁄ 4 612.56250 15160.92188 3 ⁄ 4 945.56250 29076.04688 3 ⁄ 4 1350.56250 49633.17188 7 ⁄ 8 618.76563 15391.79492 7 ⁄ 8 953.26563 29432.07617 7 ⁄ 8 1359.76563 50141.35742 25 625.00000 15625.00000 31 961.00000 29791.00000 37 1369.00000 50653.00000 1 ⁄ 8 631.26563 15860.54883 1 ⁄ 8 968.76563 30152.83008 1 ⁄ 8 1378.26563 51168.11133 1 ⁄ 4 637.56250 16098.45313 1 ⁄ 4 976.56250 30517.57813 1 ⁄ 4 1387.56250 51686.70313 3 ⁄ 8 643.89063 16338.72461 3 ⁄ 8 984.39063 30885.25586 3 ⁄ 8 1396.89063 52208.78711 1 ⁄ 2 650.25000 16581.37500 1 ⁄ 2 992.25000 31255.87500 1 ⁄ 2 1406.25000 52734.37500 5 ⁄ 8 656.64063 16826.41602 5 ⁄ 8 1000.14063 31629.44727 5 ⁄ 8 1415.64063 53263.47852 3 ⁄ 4 663.06250 17073.85938 3 ⁄ 4 1008.06250 32005.98438 3 ⁄ 4 1425.06250 53796.10938 7 ⁄ 8 669.51563 17323.71680 7 ⁄ 8 1016.01563 32385.49805 7 ⁄ 8 1434.51563 54332.27930 26 676.00000 17576.00000 32 1024.00000 32768.00000 38 1444.00000 54872.00000 1 ⁄ 8 682.51563 17830.72070 1 ⁄ 8 1032.01563 33153.50195 1 ⁄ 8 1453.51563 55415.28320 1 ⁄ 4 689.06250 18087.89063 1 ⁄ 4 1040.06250 33542.01563 1 ⁄ 4 1463.06250 55962.14063 3 ⁄ 8 695.64063 18347.52148 3 ⁄ 8 1048.14063 33933.55273 3 ⁄ 8 1472.64063 56512.58398 1 ⁄ 2 702.25000 18609.62500 1 ⁄ 2 1056.25000 34328.12500 1 ⁄ 2 1482.25000 57066.62500 5 ⁄ 8 708.89063 18874.21289 5 ⁄ 8 1064.39063 34725.74414 5 ⁄ 8 1491.89063 57624.27539 3 ⁄ 4 715.56250 19141.29688 3 ⁄ 4 1072.56250 35126.42188 3 ⁄ 4 1501.56250 58185.54688 7 ⁄ 8 722.26563 19410.88867 7 ⁄ 8 1080.76563 35530.16992 7 ⁄ 8 1511.26563 58750.45117 27 729.00000 19683.00000 33 1089.00000 35937.00000 39 1521.00000 59319.00000 1 ⁄ 8 735.76563 19957.64258 1 ⁄ 8 1097.26563 36346.92383 1 ⁄ 8 1530.76563 59891.20508 1 ⁄ 4 742.56250 20234.82813 1 ⁄ 4 1105.56250 36759.95313 1 ⁄ 4 1540.56250 60467.07813 3 ⁄ 8 749.39063 20514.56836 3 ⁄ 8 1113.89063 37176.09961 3 ⁄ 8 1550.39063 61046.63086 1 ⁄ 2 756.25000 20796.87500 1 ⁄ 2 1122.25000 37595.37500 1 ⁄ 2 1560.25000 61629.87500 5 ⁄ 8 763.14063 21081.75977 5 ⁄ 8 1130.64063 38017.79102 5 ⁄ 8 1570.14063 62216.82227 3 ⁄ 4 770.06250 21369.23438 3 ⁄ 4 1139.06250 38443.35938 3 ⁄ 4 1580.06250 62807.48438 7 ⁄ 8 777.01563 21659.31055 7 ⁄ 8 1147.51563 38872.09180 7 ⁄ 8 1590.01563 63401.87305 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY 2840 SQUARES AND CUBES OF NUMBERS Squares and Cubes of Numbers from 40 to 57 7 ⁄ 8 No. Square Cube No. Square Cube No. Square Cube 40 1600.00000 64000.00000 46 2116.00000 97336.00000 52 2704.00000 140608.00000 1 ⁄ 8 1610.01563 64601.87695 1 ⁄ 8 2127.51563 98131.65820 1 ⁄ 8 2717.01563 141624.43945 1 ⁄ 4 1620.06250 65207.51563 1 ⁄ 4 2139.06250 98931.64063 1 ⁄ 4 2730.06250 142645.76563 3 ⁄ 8 1630.14063 65816.92773 3 ⁄ 8 2150.64063 99735.95898 3 ⁄ 8 2743.14063 143671.99023 1 ⁄ 2 1640.25000 66430.12500 1 ⁄ 2 2162.25000 100544.62500 1 ⁄ 2 2756.25000 144703.12500 5 ⁄ 8 1650.39063 67047.11914 5 ⁄ 8 2173.89063 101357.65039 5 ⁄ 8 2769.39063 145739.18164 3 ⁄ 4 1660.56250 67667.92188 3 ⁄ 4 2185.56250 102175.04688 3 ⁄ 4 2782.56250 146780.17188 7 ⁄ 8 1670.76563 68292.54492 7 ⁄ 8 2197.26563 102996.82617 7 ⁄ 8 2795.76563 147826.10742 41 1681.00000 68921.00000 47 2209.00000 103823.00000 53 2809.00000 148877.00000 1 ⁄ 8 1691.26563 69553.29883 1 ⁄ 8 2220.76563 104653.58008 1 ⁄ 8 2822.26563 149932.86133 1 ⁄ 4 1701.56250 70189.45313 1 ⁄ 4 2232.56250 105488.57813 1 ⁄ 4 2835.56250 150993.70313 3 ⁄ 8 1711.89063 70829.47461 3 ⁄ 8 2244.39063 106328.00586 3 ⁄ 8 2848.89063 152059.53711 1 ⁄ 2 1722.25000 71473.37500 1 ⁄ 2 2256.25000 107171.87500 1 ⁄ 2 2862.25000 153130.37500 5 ⁄ 8 1732.64063 72121.16602 5 ⁄ 8 2268.14063 108020.19727 5 ⁄ 8 2875.64063 154206.22852 3 ⁄ 4 1743.06250 72772.85938 3 ⁄ 4 2280.06250 108872.98438 3 ⁄ 4 2889.06250 155287.10938 7 ⁄ 8 1753.51563 73428.46680 7 ⁄ 8 2292.01563 109730.24805 7 ⁄ 8 2902.51563 156373.02930 42 1764.00000 74088.00000 48 2304.00000 110592.00000 54 2916.00000 157464.00000 1 ⁄ 8 1774.51563 74751.47070 1 ⁄ 8 2316.01563 111458.25195 1 ⁄ 8 2929.51563 158560.03320 1 ⁄ 4 1785.06250 75418.89063 1 ⁄ 4 2328.06250 112329.01563 1 ⁄ 4 2943.06250 159661.14063 3 ⁄ 8 1795.64063 76090.27148 3 ⁄ 8 2340.14063 113204.30273 3 ⁄ 8 2956.64063 160767.33398 1 ⁄ 2 1806.25000 76765.62500 1 ⁄ 2 2352.25000 114084.12500 1 ⁄ 2 2970.25000 161878.62500 5 ⁄ 8 1816.89063 77444.96289 5 ⁄ 8 2364.39063 114968.49414 5 ⁄ 8 2983.89063 162995.02539 3 ⁄ 4 1827.56250 78128.29688 3 ⁄ 4 2376.56250 115857.42188 3 ⁄ 4 2997.56250 164116.54688 7 ⁄ 8 1838.26563 78815.63867 7 ⁄ 8 2388.76563 116750.91992 7 ⁄ 8 3011.26563 165243.20117 43 1849.00000 79507.00000 49 2401.00000 117649.00000 55 3025.00000 166375.00000 1 ⁄ 8 1859.76563 80202.39258 1 ⁄ 8 2413.26563 118551.67383 1 ⁄ 8 3038.76563 167511.95508 1 ⁄ 4 1870.56250 80901.82813 1 ⁄ 4 2425.56250 119458.95313 1 ⁄ 4 3052.56250 168654.07813 3 ⁄ 8 1881.39063 81605.31836 3 ⁄ 8 2437.89063 120370.84961 3 ⁄ 8 3066.39063 169801.38086 1 ⁄ 2 1892.25000 82312.87500 1 ⁄ 2 2450.25000 121287.37500 1 ⁄ 2 3080.25000 170953.87500 5 ⁄ 8 1903.14063 83024.50977 5 ⁄ 8 2462.64063 122208.54102 5 ⁄ 8 3094.14063 172111.57227 3 ⁄ 4 1914.06250 83740.23438 3 ⁄ 4 2475.06250 123134.35938 3 ⁄ 4 3108.06250 173274.48438 7 ⁄ 8 1925.01563 84460.06055 7 ⁄ 8 2487.51563 124064.84180 7 ⁄ 8 3122.01563 174442.62305 44 1936.00000 85184.00000 50 2500.00000 125000.00000 56 3136.00000 175616.00000 1 ⁄ 8 1947.01563 85912.06445 1 ⁄ 8 2512.51563 125939.84570 1 ⁄ 8 3150.01563 176794.62695 1 ⁄ 4 1958.06250 86644.26563 1 ⁄ 4 2525.06250 126884.39063 1 ⁄ 4 3164.06250 177978.51563 3 ⁄ 8 1969.14063 87380.61523 3 ⁄ 8 2537.64063 127833.64648 3 ⁄ 8 3178.14063 179167.67773 1 ⁄ 2 1980.25000 88121.12500 1 ⁄ 2 2550.25000 128787.62500 1 ⁄ 2 3192.25000 180362.12500 5 ⁄ 8 1991.39063 88865.80664 5 ⁄ 8 2562.89063 129746.33789 5 ⁄ 8 3206.39063 181561.86914 3 ⁄ 4 2002.56250 89614.67188 3 ⁄ 4 2575.56250 130709.79688 3 ⁄ 4 3220.56250 182766.92188 7 ⁄ 8 2013.76563 90367.73242 7 ⁄ 8 2588.26563 131678.01367 7 ⁄ 8 3234.76563 183977.29492 45 2025.00000 91125.00000 51 2601.00000 132651.00000 57 3249.00000 185193.00000 1 ⁄ 8 2036.26563 91886.48633 1 ⁄ 8 2613.76563 133628.76758 1 ⁄ 8 3263.26563 186414.04883 1 ⁄ 4 2047.56250 92652.20313 1 ⁄ 4 2626.56250 134611.32813 1 ⁄ 4 3277.56250 187640.45313 3 ⁄ 8 2058.89063 93422.16211 3 ⁄ 8 2639.39063 135598.69336 3 ⁄ 8 3291.89063 188872.22461 1 ⁄ 2 2070.25000 94196.37500 1 ⁄ 2 2652.25000 136590.87500 1 ⁄ 2 3306.25000 190109.37500 5 ⁄ 8 2081.64063 94974.85352 5 ⁄ 8 2665.14063 137587.88477 5 ⁄ 8 3320.64063 191351.91602 3 ⁄ 4 2093.06250 95757.60938 3 ⁄ 4 2678.06250 138589.73438 3 ⁄ 4 3335.06250 192599.85938 7 ⁄ 8 2104.51563 96544.65430 7 ⁄ 8 2691.01563 139596.43555 7 ⁄ 8 3349.51563 193853.21680 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY SQUARES AND CUBES OF NUMBERS 2841 Squares and Cubes of Numbers from 58 to 75 7 ⁄ 8 No. Square Cube No. Square Cube No. Square Cube 58 3364.00000 195112.00000 64 4096.00000 262144.00000 70 4900.00000 343000.00000 1 ⁄ 8 3378.51563 196376.22070 1 ⁄ 8 4112.01563 263683.00195 1 ⁄ 8 4917.51563 344840.78320 1 ⁄ 4 3393.06250 197645.89063 1 ⁄ 4 4128.06250 265228.01563 1 ⁄ 4 4935.06250 346688.14063 3 ⁄ 8 3407.64063 198921.02148 3 ⁄ 8 4144.14063 266779.05273 3 ⁄ 8 4952.64063 348542.08398 1 ⁄ 2 3422.25000 200201.62500 1 ⁄ 2 4160.25000 268336.12500 1 ⁄ 2 4970.25000 350402.62500 5 ⁄ 8 3436.89063 201487.71289 5 ⁄ 8 4176.39063 269899.24414 5 ⁄ 8 4987.89063 352269.77539 3 ⁄ 4 3451.56250 202779.29688 3 ⁄ 4 4192.56250 271468.42188 3 ⁄ 4 5005.56250 354143.54688 7 ⁄ 8 3466.26563 204076.38867 7 ⁄ 8 4208.76563 273043.66992 7 ⁄ 8 5023.26563 356023.95117 59 3481.00000 205379.00000 65 4225.00000 274625.00000 71 5041.00000 357911.00000 1 ⁄ 8 3495.76563 206687.14258 1 ⁄ 8 4241.26563 276212.42383 1 ⁄ 8 5058.76563 359804.70508 1 ⁄ 4 3510.56250 208000.82813 1 ⁄ 4 4257.56250 277805.95313 1 ⁄ 4 5076.56250 361705.07813 3 ⁄ 8 3525.39063 209320.06836 3 ⁄ 8 4273.89063 279405.59961 3 ⁄ 8 5094.39063 363612.13086 1 ⁄ 2 3540.25000 210644.87500 1 ⁄ 2 4290.25000 281011.37500 1 ⁄ 2 5112.25000 365525.87500 5 ⁄ 8 3555.14063 211975.25977 5 ⁄ 8 4306.64063 282623.29102 5 ⁄ 8 5130.14063 367446.32227 3 ⁄ 4 3570.06250 213311.23438 3 ⁄ 4 4323.06250 284241.35938 3 ⁄ 4 5148.06250 369373.48438 7 ⁄ 8 3585.01563 214652.81055 7 ⁄ 8 4339.51563 285865.59180 7 ⁄ 8 5166.01563 371307.37305 60 3600.00000 216000.00000 66 4356.00000 287496.00000 72 5184.00000 373248.00000 1 ⁄ 8 3615.01563 217352.81445 1 ⁄ 8 4372.51563 289132.59570 1 ⁄ 8 5202.01563 375195.37695 1 ⁄ 4 3630.06250 218711.26563 1 ⁄ 4 4389.06250 290775.39063 1 ⁄ 4 5220.06250 377149.51563 3 ⁄ 8 3645.14063 220075.36523 3 ⁄ 8 4405.64063 292424.39648 3 ⁄ 8 5238.14063 379110.42773 1 ⁄ 2 3660.25000 221445.12500 1 ⁄ 2 4422.25000 294079.62500 1 ⁄ 2 5256.25000 381078.12500 5 ⁄ 8 3675.39063 222820.55664 5 ⁄ 8 4438.89063 295741.08789 5 ⁄ 8 5274.39063 383052.61914 3 ⁄ 4 3690.56250 224201.67188 3 ⁄ 4 4455.56250 297408.79688 3 ⁄ 4 5292.56250 385033.92188 7 ⁄ 8 3705.76563 225588.48242 7 ⁄ 8 4472.26563 299082.76367 7 ⁄ 8 5310.76563 387022.04492 61 3721.00000 226981.00000 67 4489.00000 300763.00000 73 5329.00000 389017.00000 1 ⁄ 8 3736.26563 228379.23633 1 ⁄ 8 4505.76563 302449.51758 1 ⁄ 8 5347.26563 391018.79883 1 ⁄ 4 3751.56250 229783.20313 1 ⁄ 4 4522.56250 304142.32813 1 ⁄ 4 5365.56250 393027.45313 3 ⁄ 8 3766.89063 231192.91211 3 ⁄ 8 4539.39063 305841.44336 3 ⁄ 8 5383.89063 395042.97461 1 ⁄ 2 3782.25000 232608.37500 1 ⁄ 2 4556.25000 307546.87500 1 ⁄ 2 5402.25000 397065.37500 5 ⁄ 8 3797.64063 234029.60352 5 ⁄ 8 4573.14063 309258.63477 5 ⁄ 8 5420.64063 399094.66602 3 ⁄ 4 3813.06250 235456.60938 3 ⁄ 4 4590.06250 310976.73438 3 ⁄ 4 5439.06250 401130.85938 7 ⁄ 8 3828.51563 236889.40430 7 ⁄ 8 4607.01563 312701.18555 7 ⁄ 8 5457.51563 403173.96680 62 3844.00000 238328.00000 68 4624.00000 314432.00000 74 5476.00000 405224.00000 1 ⁄ 8 3859.51563 239772.40820 1 ⁄ 8 4641.01563 316169.18945 1 ⁄ 8 5494.51563 407280.97070 1 ⁄ 4 3875.06250 241222.64063 1 ⁄ 4 4658.06250 317912.76563 1 ⁄ 4 5513.06250 409344.89063 3 ⁄ 8 3890.64063 242678.70898 3 ⁄ 8 4675.14063 319662.74023 3 ⁄ 8 5531.64063 411415.77148 1 ⁄ 2 3906.25000 244140.62500 1 ⁄ 2 4692.25000 321419.12500 1 ⁄ 2 5550.25000 413493.62500 5 ⁄ 8 3921.89063 245608.40039 5 ⁄ 8 4709.39063 323181.93164 5 ⁄ 8 5568.89063 415578.46289 3 ⁄ 4 3937.56250 247082.04688 3 ⁄ 4 4726.56250 324951.17188 3 ⁄ 4 5587.56250 417670.29688 7 ⁄ 8 3953.26563 248561.57617 7 ⁄ 8 4743.76563 326726.85742 7 ⁄ 8 5606.26563 419769.13867 63 3969.00000 250047.00000 69 4761.00000 328509.00000 75 5625.00000 421875.00000 1 ⁄ 8 3984.76563 251538.33008 1 ⁄ 8 4778.26563 330297.61133 1 ⁄ 8 5643.76563 423987.89258 1 ⁄ 4 4000.56250 253035.57813 1 ⁄ 4 4795.56250 332092.70313 1 ⁄ 4 5662.56250 426107.82813 3 ⁄ 8 4016.39063 254538.75586 3 ⁄ 8 4812.89063 333894.28711 3 ⁄ 8 5681.39063 428234.81836 1 ⁄ 2 4032.25000 256047.87500 1 ⁄ 2 4830.25000 335702.37500 1 ⁄ 2 5700.25000 430368.87500 5 ⁄ 8 4048.14063 257562.94727 5 ⁄ 8 4847.64063 337516.97852 5 ⁄ 8 5719.14063 432510.00977 3 ⁄ 4 4064.06250 259083.98438 3 ⁄ 4 4865.06250 339338.10938 3 ⁄ 4 5738.06250 434658.23438 7 ⁄ 8 4080.01563 260610.99805 7 ⁄ 8 4882.51563 341165.77930 7 ⁄ 8 5757.01563 436813.56055 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY 2842 SQUARES AND CUBES OF NUMBERS Squares and Cubes of Numbers from 76 to 93 7 ⁄ 8 No. Square Cube No. Square Cube No. Square Cube 76 5776.00000 438976.00000 82 6724.00000 551368.00000 88 7744.00000 681472.00000 1 ⁄ 8 5795.01563 441145.56445 1 ⁄ 8 6744.51563 553893.34570 1 ⁄ 8 7766.01563 684380.12695 1 ⁄ 4 5814.06250 443322.26563 1 ⁄ 4 6765.06250 556426.39063 1 ⁄ 4 7788.06250 687296.51563 3 ⁄ 8 5833.14063 445506.11523 3 ⁄ 8 6785.64063 558967.14648 3 ⁄ 8 7810.14063 690221.17773 1 ⁄ 2 5852.25000 447697.12500 1 ⁄ 2 6806.25000 561515.62500 1 ⁄ 2 7832.25000 693154.12500 5 ⁄ 8 5871.39063 449895.30664 5 ⁄ 8 6826.89063 564071.83789 5 ⁄ 8 7854.39063 696095.36914 3 ⁄ 4 5890.56250 452100.67188 3 ⁄ 4 6847.56250 566635.79688 3 ⁄ 4 7876.56250 699044.92188 7 ⁄ 8 5909.76563 454313.23242 7 ⁄ 8 6868.26563 569207.51367 7 ⁄ 8 7898.76563 702002.79492 77 5929.00000 456533.00000 83 6889.00000 571787.00000 89 7921.00000 704969.00000 1 ⁄ 8 5948.26563 458759.98633 1 ⁄ 8 6909.76563 574374.26758 1 ⁄ 8 7943.26563 707943.54883 1 ⁄ 4 5967.56250 460994.20313 1 ⁄ 4 6930.56250 576969.32813 1 ⁄ 4 7965.56250 710926.45313 3 ⁄ 8 5986.89063 463235.66211 3 ⁄ 8 6951.39063 579572.19336 3 ⁄ 8 7987.89063 713917.72461 1 ⁄ 2 6006.25000 465484.37500 1 ⁄ 2 6972.25000 582182.87500 1 ⁄ 2 8010.25000 716917.37500 5 ⁄ 8 6025.64063 467740.35352 5 ⁄ 8 6993.14063 584801.38477 5 ⁄ 8 8032.64063 719925.41602 3 ⁄ 4 6045.06250 470003.60938 3 ⁄ 4 7014.06250 587427.73438 3 ⁄ 4 8055.06250 722941.85938 7 ⁄ 8 6064.51563 472274.15430 7 ⁄ 8 7035.01563 590061.93555 7 ⁄ 8 8077.51563 725966.71680 78 6084.00000 474552.00000 84 7056.00000 592704.00000 90 8100.00000 729000.00000 1 ⁄ 8 6103.51563 476837.15820 1 ⁄ 8 7077.01563 595353.93945 1 ⁄ 8 8122.51563 732041.72070 1 ⁄ 4 6123.06250 479129.64063 1 ⁄ 4 7098.06250 598011.76563 1 ⁄ 4 8145.06250 735091.89063 3 ⁄ 8 6142.64063 481429.45898 3 ⁄ 8 7119.14063 600677.49023 3 ⁄ 8 8167.64063 738150.52148 1 ⁄ 2 6162.25000 483736.62500 1 ⁄ 2 7140.25000 603351.12500 1 ⁄ 2 8190.25000 741217.62500 5 ⁄ 8 6181.89063 486051.15039 5 ⁄ 8 7161.39063 606032.68164 5 ⁄ 8 8212.89063 744293.21289 3 ⁄ 4 6201.56250 488373.04688 3 ⁄ 4 7182.56250 608722.17188 3 ⁄ 4 8235.56250 747377.29688 7 ⁄ 8 6221.26563 490702.32617 7 ⁄ 8 7203.76563 611419.60742 7 ⁄ 8 8258.26563 750469.88867 79 6241.00000 493039.00000 85 7225.00000 614125.00000 91 8281.00000 753571.00000 1 ⁄ 8 6260.76563 495383.08008 1 ⁄ 8 7246.26563 616838.36133 1 ⁄ 8 8303.76563 756680.64258 1 ⁄ 4 6280.56250 497734.57813 1 ⁄ 4 7267.56250 619559.70313 1 ⁄ 4 8326.56250 759798.82813 3 ⁄ 8 6300.39063 500093.50586 3 ⁄ 8 7288.89063 622289.03711 3 ⁄ 8 8349.39063 762925.56836 1 ⁄ 2 6320.25000 502459.87500 1 ⁄ 2 7310.25000 625026.37500 1 ⁄ 2 8372.25000 766060.87500 5 ⁄ 8 6340.14063 504833.69727 5 ⁄ 8 7331.64063 627771.72852 5 ⁄ 8 8395.14063 769204.75977 3 ⁄ 4 6360.06250 507214.98438 3 ⁄ 4 7353.06250 630525.10938 3 ⁄ 4 8418.06250 772357.23438 7 ⁄ 8 6380.01563 509603.74805 7 ⁄ 8 7374.51563 633286.52930 7 ⁄ 8 8441.01563 775518.31055 80 6400.00000 512000.00000 86 7396.00000 636056.00000 92 8464.00000 778688.00000 1 ⁄ 8 6420.01563 514403.75195 1 ⁄ 8 7417.51563 638833.53320 1 ⁄ 8 8487.01563 781866.31445 1 ⁄ 4 6440.06250 516815.01563 1 ⁄ 4 7439.06250 641619.14063 1 ⁄ 4 8510.06250 785053.26563 3 ⁄ 8 6460.14063 519233.80273 3 ⁄ 8 7460.64063 644412.83398 3 ⁄ 8 8533.14063 788248.86523 1 ⁄ 2 6480.25000 521660.12500 1 ⁄ 2 7482.25000 647214.62500 1 ⁄ 2 8556.25000 791453.12500 5 ⁄ 8 6500.39063 524093.99414 5 ⁄ 8 7503.89063 650024.52539 5 ⁄ 8 8579.39063 794666.05664 3 ⁄ 4 6520.56250 526535.42188 3 ⁄ 4 7525.56250 652842.54688 3 ⁄ 4 8602.56250 797887.67188 7 ⁄ 8 6540.76563 528984.41992 7 ⁄ 8 7547.26563 655668.70117 7 ⁄ 8 8625.76563 801117.98242 81 6561.00000 531441.00000 87 7569.00000 658503.00000 93 8649.00000 804357.00000 1 ⁄ 8 6581.26563 533905.17383 1 ⁄ 8 7590.76563 661345.45508 1 ⁄ 8 8672.26563 807604.73633 1 ⁄ 4 6601.56250 536376.95313 1 ⁄ 4 7612.56250 664196.07813 1 ⁄ 4 8695.56250 810861.20313 3 ⁄ 8 6621.89063 538856.34961 3 ⁄ 8 7634.39063 667054.88086 3 ⁄ 8 8718.89063 814126.41211 1 ⁄ 2 6642.25000 541343.37500 1 ⁄ 2 7656.25000 669921.87500 1 ⁄ 2 8742.25000 817400.37500 5 ⁄ 8 6662.64063 543838.04102 5 ⁄ 8 7678.14063 672797.07227 5 ⁄ 8 8765.64063 820683.10352 3 ⁄ 4 6683.06250 546340.35938 3 ⁄ 4 7700.06250 675680.48438 3 ⁄ 4 8789.06250 823974.60938 7 ⁄ 8 6703.51563 548850.34180 7 ⁄ 8 7722.01563 678572.12305 7 ⁄ 8 8812.51563 827274.90430 Machinery's Handbook 27th Edition Copyright 2004, Industrial Press, Inc., New York, NY [...]... 60 121 1 584 603351 125 605495736 607645 423 60 980 01 92 611960049 614 125 000 Sq Root 28 .30194 28 .31960 28 .33 725 28 .35 489 28 .3 725 2 28 .39014 28 .40775 28 . 425 34 28 .4 429 3 28 .46050 28 .4 780 6 28 .49561 28 .51315 28 .53069 28 .54 82 0 28 .56571 28 . 58 321 28 .60070 28 .6 181 8 28 .63564 28 .65310 28 .67054 28 . 687 98 28 .70540 28 . 722 81 28 .74 022 28 .75761 28 .77499 28 .7 923 6 28 .80 9 72 28. 82 7 07 28 .84 441 28 .86 174 28 .87 906 28 .89 637 28 .91366 28 .93095... 23 .89 561 23 .916 52 23.937 42 23.9 583 0 23 .97916 24 .00000 24 . 020 82 24.04163 24 .0 624 2 24 . 083 19 24 .10394 24 . 124 68 24 .14539 24 .16609 24 . 186 77 24 .20 744 24 .22 80 8 24 .24 87 1 24 .26 9 32 24 . 28 9 92 24.31049 24 .33105 24 .35159 24 .3 721 2 24 .3 926 2 24 .41311 24 .433 58 24 .45404 24 .474 48 24 .49490 Cube Root 8. 1 981 8 8 .20 313 8 .20 80 8 8 .21 303 8 .21 797 8 .22 290 8 .22 783 8 .23 275 8 .23 766 8 .24 257 8 .24 747 8 .25 237 8 .25 726 8 .26 215 8 .26 703 8 .27 190 8 .27 677... 409600 41 088 1 4 121 64 413449 414736 416 025 417316 4 186 09 419904 421 201 422 500 Cube 21 7 081 801 21 81 6 720 8 21 925 622 7 22 03 488 64 22 1445 125 22 2545016 22 36 485 43 22 47557 12 225 86 6 529 22 6 981 000 22 80 99131 22 922 0 9 28 23 0346397 23 1475544 23 26 083 75 23 374 489 6 23 488 5113 23 6 029 0 32 237176659 23 8 3 28 000 23 9 483 061 24 064 184 8 24 180 4367 24 2970 624 24 4140 625 24 5314376 24 649 188 3 24 76731 52 2 488 581 89 25 0047000 25 123 9591 25 24359 68 25 3636137... 83 0 83 1 8 32 83 3 83 4 83 5 83 6 83 7 83 8 83 9 84 0 84 1 8 42 84 3 84 4 84 5 84 6 84 7 84 8 84 9 85 0 Machinery's Handbook 27 th Edition POWERS, ROOTS, AND RECIPROCALS 28 61 Powers, Roots, and Reciprocals From 85 1 to 900 No 85 1 8 52 85 3 85 4 85 5 85 6 85 7 85 8 85 9 86 0 86 1 8 62 86 3 86 4 86 5 86 6 86 7 86 8 86 9 87 0 87 1 8 72 87 3 87 4 87 5 87 6 87 7 87 8 87 9 88 0 88 1 8 82 88 3 88 4 88 5 88 6 88 7 88 8 88 9 89 0 89 1 8 92 89 3 89 4 89 5 89 6 89 7 89 8 89 9 900... 26 .05763 26 .07 681 26 .095 98 26 .11513 26 .13 427 26 .15339 26 .1 725 0 26 .19160 26 .21 0 68 26 .22 975 26 .24 88 1 26 .26 785 26 . 28 688 26 .30 589 26 . 324 89 26 .34 388 26 .3 6 28 5 26 . 381 81 26 .40076 26 .41969 26 .4 386 1 26 .45751 Cube Root 8. 66 683 8. 67 127 8. 67570 8. 680 12 8. 684 55 8. 688 96 8. 693 38 8.697 78 8.7 021 9 8. 70659 8. 710 98 8.71537 8. 71976 8. 724 14 8. 7 28 52 8. 7 3 28 9 8. 73 726 8. 741 62 8. 745 98 8.75034 8. 75469 8. 75904 8. 763 38 8.767 72 8. 7 720 5 8. 776 38. .. 82 0 83 6 82 2 649 82 4 464 82 6 281 82 8 100 82 9 921 83 1744 83 3569 83 5396 83 722 5 83 9056 84 088 9 8 427 24 84 4561 84 6400 84 82 4 1 85 0 084 85 1 929 85 3776 85 5 625 85 7476 85 9 329 86 1 184 86 3041 86 4900 86 6761 86 8 624 87 0 489 8 723 56 87 422 5 87 6096 87 7969 87 984 4 88 1 721 88 3600 88 5 481 88 7364 88 924 9 89 1136 89 3 025 89 4916 89 680 9 89 8704 900601 9 025 00 Cube 7314 327 01 73 387 080 8 736314 327 7 387 6 326 4 74 121 7 625 743677416 7461 426 43 7 486 133 12 751 089 429 ... 496793 088 4 986 7 725 7 500566 184 5 024 5 987 5 5043 583 36 50 626 1573 5 081 695 92 5100 82 3 99 5 120 00000 Sq Root 27 .404 38 27 . 422 62 27.44 085 27 .45906 27 .47 726 27 .49545 27 .51363 27 .53 180 27 .54995 27 .5 681 0 27 . 58 623 27 .60435 27 . 622 45 27 .64055 27 .6 586 3 27 .67671 27 .69476 27 .7 1 28 1 27 .73 085 27 .7 488 7 27 .76 689 27 . 784 89 27 .8 0 28 8 27 . 82 0 86 27 .83 8 82 27 .85 6 78 27 .87 4 72 27 .8 926 5 27 .91057 27 . 9 28 48 27 .946 38 27 .96 426 27 .9 82 1 4 28 .00000 28 .01 785 ... 21 .37756 21 .40093 21 . 424 29 21 .44761 21 .47091 21 .49419 21 .51743 21 .54066 21 .56 386 21 . 587 03 21 .610 18 21 .63331 21 .65641 21 .679 48 21 .7 025 3 21 . 725 56 21 .7 485 6 21 .77154 21 .79449 21 .81 7 42 21 .84 033 21 .86 321 21 .88 607 21 .9 089 0 21 .93171 21 .95450 21 .97 726 22 .00000 22 . 022 72 22. 04541 22 .0 680 8 22 .090 72 22. 11334 22 .13594 22 .1 58 52 22. 181 07 22 .20 360 22 .22 611 22 .24 86 0 22 .27 106 22 .29 350 22 .31591 22 .3 383 1 22 .360 68 Cube Root... 21 4369 21 529 6 21 622 5 21 7156 21 80 89 21 9 024 21 9961 22 0900 22 184 1 22 2 784 22 3 729 22 4676 22 5 625 22 6576 22 7 529 22 84 84 22 9441 23 0400 23 1361 23 2 324 23 3 28 9 23 425 6 23 522 5 23 6196 23 7169 23 81 44 23 9 121 24 0100 24 1 081 24 2064 24 3049 24 4036 24 5 025 24 6016 24 7009 24 80 04 24 9001 25 0000 Cube 9173 385 1 923 454 08 929 59677 93576664 94196375 9 481 881 6 95443993 960719 12 967 025 79 97336000 979 721 81 986 11 1 28 9 925 284 7 9 989 7344 100544 625 ... 27 .05550 27 .07397 27 .0 924 3 27 .11 088 27 . 129 32 27.14774 27 .16616 27 . 184 55 27 .20 294 27 .22 1 32 27 .23 9 68 27 .25 80 3 27 .27 636 27 .29 469 27 .31300 27 .33130 27 .34959 27 .36 786 27 . 386 13 Cube Root 8. 88 327 8. 887 49 8. 89171 8. 895 92 8. 90013 8. 90434 8. 9 085 4 8. 9 127 4 8. 91693 8. 921 12 8. 925 31 8. 929 49 8. 93367 8. 93 784 8. 9 420 1 8. 946 18 8.95034 8. 95450 8. 9 586 6 8. 9 6 28 1 8. 96696 8. 97110 8. 97 524 8. 979 38 8. 983 51 8. 987 64 8. 99176 8. 99 588 9.00000 . as 4 52, 929 . 51 26 0100 26 1 121 26 2144 26 3169 26 4196 26 522 5 26 625 6 26 7 28 9 26 8 324 26 9361 52 270400 27 1441 27 2 484 27 3 529 27 4576 27 5 625 27 6676 27 7 729 27 87 84 27 984 1 53 28 0900 28 1961 28 3 024 28 4 089 28 5156. 78 322 5 784 996 786 769 788 544 790 321 89 7 921 00 79 388 1 795664 797449 79 923 6 80 1 025 8 0 28 16 80 4609 80 6404 80 82 0 1 90 81 0000 81 180 1 81 3604 81 5409 81 721 6 81 9 025 82 0 83 6 82 2 649 82 4 464 82 6 281 91 82 8 100 82 9 921 . 82 9 921 83 1744 83 3569 83 5396 83 722 5 83 9056 84 088 9 8 427 24 84 4561 92 84 6400 84 82 4 1 85 0 084 85 1 929 85 3776 85 5 625 85 7476 85 9 329 86 1 184 86 3041 93 86 4900 86 6761 86 8 624 87 0 489 8 723 56 87 422 5 87 6096 87 7969