Prism A and prism B are similar. The volume of prism A is 27 cubic units while the volume of prism B is approximately 512 cubic units. If the surface area of prism B is 128 square units, what is the surface area of prism A?
The scale factor from A : B = ∛27 : ∛512 = 3 : 8
The surface area of A = ( scale factor)^2 * surface area of B = (3/8)^2 * 128 =
9/64 * 128 =
9 * ( 128/64) =
9 * 2 =
18 square units
