Find the surface area of a cube with a volume of 8 cm3.

In order to solve this problem, recall that the volume of a cube is equal to the cube of its edge, and the surface area of the cube is equal to the sum of the areas of its six faces, that is, the area of a square with side -a multiplied by six. S = 6 * a ^ 2.
Find the edge of the cube by the volume formula V = a ^ 3.
V = a ^ 3
V = 8 cm ^ 3
8 = a ^ 3
a = ∛8 (cube root of 8)
a = ∛2 * 2 * 2
a = 2
Find the surface area of the cube.
S = 6 * a ^ 2
S = 6 * 2 ^ 2
S = 6 * 2 * 2
S = 24 cm ^ 2
Answer: 24 cm ^ 2



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