The volume of a cube is $64$ cubic inches. What is its surface area?
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The volume of a cube is $64$ cubic inches. What is its surface area?
Volume = s^3 = 64, so side s = 4. Surface area = 6 * s^2 = 6 * 16 = 96 square inches.
First find the edge length of the cube by taking the cube root of its volume, which is the cube root of 64 cubic inches, giving an edge of 4 inches. The surface area formula for a cube is 6 multiplied by the square of its edge. Calculating this gives 6 * 4^2 = 6 * 16 = 96 square inches. The surface area is 96 square inches.