The surface area of a cube is $96 \mathrm{~cm}^{2}$. The volume of the cube, in $\mathrm{cm}^{3}$, is
(A) 16
(B) 64
(C) 8
(D) 512
(E) 216
A cube has six faces, each of which is a square.

If a cube has a surface area of $96 \mathrm{~cm}^{2}$, then each of its faces has an area of one-sixth of this total, or $16 \mathrm{~cm}^{2}$.

Since each face has an area of $16 \mathrm{~cm}^{2}$, then the edge length of the cube is $4 \mathrm{~cm}$.

Since the edge length of the cube is $4 \mathrm{~cm}$, its volume is $4^{3} \mathrm{~cm}^{3}=64 \mathrm{~cm}^{3}$.

Answer: (B)

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