If the surface area of a cube is 384 cm2, what is the volume of the cube?

If the surface area of a cube is 384 cm2, what is the volume of the cube?
A . 64 cm3
B . 256 cm3
C . 51 2 cm3
D . 115 2 cm3
E . 4096 cm3

Answer: C

Explanation:

The surface area of a cube is equal to 6 × e 2 , where e is the length of one edge of the cube; 6 × e 2 = 384 cm, e 3 = 64, e = 8 cm. The volume of a cube is equal to e 3 ; (8 cm) 3 = 512 cm3.

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