Danielle’s cube has a volume of 512 in. 3 . What is the surface area of her cube?

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The volume of a cube is equal to the product of its length, width, and height. Since the length, width, and height of a cube are identical in measure, the measure of one edge of Danielle’s cube is equal to the cube root of 512, which is equal to 8, since (8)(8)(8) = 512. The area of one face of the cube is equal to the product of the length and width of that face. Since every length and width of the cube is 8 units, the area of one face of the cube is (8)(8) = 64 square units. A cube has six faces, so the total surface area of the cube is equal to (64)(6) = 384 square units.

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