If the volume of a cube is 64, what is the surface area of the cube?

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问题 If the volume of a cube is 64, what is the surface area of the cube?

选项 A、16
B、24
C、64
D、72
E、96

答案E

解析 The correct answer is E. Recall that the volume of a cube is equivalent to side × side × side, or s3. If the volume is 64, then s3 = 64, and s=4. Because there are 6 faces on a cube, the surface area will equal 6 times one of the surfaces, which are squares with side s; the area of one face is s2. Therefore, the total surface area of the cube is 6s2, or 6(42), or 6(16), which equals 96.
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