Cracking the SAT Subject Test in Math 2, 2nd Edition Volume of a Prism V = Bh In this formula, B represents the area of either base of the prism (the top or the bottom), and h represents the height of[.]
Volume of a Prism V = Bh In this formula, B represents the area of either base of the prism (the top or the bottom), and h represents the height of the prism (perpendicular to the base) The formulas for the volume of a rectangular solid, a cube, and a cylinder all come from this basic formula Area and Volume In general the volume of a shape involves the area of the base, often referred to as B, and the height, or h, of the solid RECTANGULAR SOLIDS A rectangular solid is simply a box; ETS also sometimes calls it a rectangular prism It has three distinct dimensions: length, width, and height The volume of a rectangular solid (the amount of space it contains) is given by this formula: Volume of a Rectangular Solid V = lwh The surface area (SA) of a rectangular solid is the sum of the areas of all of its faces A rectangular solid’s surface area is given by the formula below Surface Area of a Rectangular Solid SA = 2lw + 2wh + 2lh The volume and surface area of a solid make up the most basic information you can have about that solid (volume is tested more often than surface area) You may also be asked about lengths within a rectangular solid—edges and diagonals The dimensions of the solid give the lengths of its edges, and the diagonal of any face of a rectangular solid can be found using the Pythagorean Theorem There’s one more length you may be asked about—the long diagonal (or space diagonal) that passes from corner to corner through the center of the box The length of the long diagonal is given by this formula: Long Diagonal of a Rectangular Solid (Super Pythagorean Theorem) a2 + b2 + c2 = d2 ... within a rectangular solid—edges and diagonals The dimensions of the solid give the lengths of its edges, and the diagonal of any face of a rectangular solid can be found using the Pythagorean Theorem... Pythagorean Theorem There’s one more length you may be asked about? ?the long diagonal (or space diagonal) that passes from corner to corner through the center of the box The length of the long diagonal is given by this formula:.. .The surface area (SA) of a rectangular solid is the sum of the areas of all of its faces A rectangular solid’s surface area is given by the formula below Surface Area of a Rectangular Solid