The volume of a cube is numerically equal to the sum of the length of its…
2019
The volume of a cube is numerically equal to the sum of the length of its edges. The total surface area of the cube in square units is
- A.
12.4
- B.
72.0
- C.
64.5
- D.
44.2
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Correct answer: B
Let s be the side length of the cube.
The volume is s^3, and the sum of the 12 edges is 12s.
Equating them gives s^3 = 12s, so s^2 = 12.
The total surface area is 6s^2, which equals 6 * 12 = 72.