If the total surface area of a cube is 1944 m², then what is the volume of cube?

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RRB NTPC Exam 20 Jan 2021 click here to view all questions

If the total surface area of a cube is 1944 m², then what is the volume of cube?

A4986 m³

B5832 m³

C5684 m³

D4864 m³

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correct answer is: option b (5832 m³) Explanation: Let the side of the cube be `$a$`. The total surface area of a cube is given by `$6a^2$`. We are given that the total surface area is 1944 m². Therefore, we have `$6a^2=1944$`. Dividing both sides by 6, we get `$a^2=324$`. Taking the square root of both sides, we get `$a=18$` m. The volume of the cube is given by `$a^3$`, so the volume is `${18}^3=18\times 18\times 18=5832$` m³ Akhilesh ? answered Apr 11 '25 at 07:35

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