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Question

A rectangular prism has dimensions 8 inches by 2 inches by 32 inches. If a cube has the same volume as the prism, what is the surface area of the cube, in square inches?

Accepted Answer

The cube has volume 8232 cubic inches, so its edge length is [3]8232=[3]864=[3]8[3]64=24=8 inches. The surface area of a cube with edge length 8 inches is 6(8 in.)^2=384 square inches.