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

Akhilesh ? Apr 11 '25 at 07:35

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

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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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