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The total surface area of a cube is 864 cm^2. What is the volume of the cube?

1. 1728 cm^3
2. 2197 cm^3
3. 1331 cm^3
4. 729 cm^3

Correct answer: 1728 cm^3

Solution

Total surface area = 6a^2 = 864, so a^2 = 144 and a = 12 cm. Volume = a^3 = 12^3 = 1728 cm^3.

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