If the total surface area of a solid cube is numerically equal to its volume, what is the length of the diagonal of this cube?

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A 6 units
B 6√2 units
C 6√3 units
D 36 units

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Answer: C. 6√3 units

Answer: C) 6√3 units
Explanation: Let the edge be a. Total surface area = volume, so 6a² = a³, giving a = 6. The diagonal of a cube is a√3, so the diagonal is 6√3 units.

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If the total surface area of a solid cube is numerically equal to its volume, what is the length of the diagonal of this cube?

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