96 square inches

Explanation

Volume is calculated by multiplying length times width times height (V = lwh). Because the edges are equal on a cube, each edge is 4 inches. The cube root of 64 produces this number: 64 = 4 * 4 * 4. The area of one side of the cube is 4 * 4 = 16 and because a cube has 6 sides you multiply 16 * 6 to find the surface area of the cube = 96 square inches.

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