If a cube has a total surface area of 726 m², what is its volume?

Volumes MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject: Volumesmathematics-mcqs › volumes
Published: 12 Jul 2019
Last updated: 28 May 2026

Explanation

Given the surface area of the cube is 726 m², we use the formula for surface area: 6a² = 726. Solving for a² gives 121, so a = 11 m. The volume is then calculated as a³ = 11 × 11 × 11 = 1331 m³.

Practice related questions from the same subject.

1.What is the radius of a sphere if its volume and surface area have the same numerical value?
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3.A sphere and a right circular cylinder have identical radii, and their volumes are equal. What is the height of the cylinder in terms of its radius?
4.How many solid spheres with a diameter of 6 cm can be formed by melting a solid metal cylinder measuring 45 cm in height and 4 cm in diameter?
5.What is the length of a wire with a radius of 0.2 mm that can be formed by melting a solid copper sphere with a diameter of 18 cm?
6.If the radius of a wire is reduced to one-third of its original size while keeping the volume constant, by what factor will its length change?
7.If the volumes of two cubes are in the ratio 8 to 1, what is the ratio of their side lengths?
8.A metal sheet measuring 27 cm in length, 8 cm in width, and 1 cm in thickness is melted and reshaped into a cube. What is the difference between the surface areas of the original sheet and the resulting cube?

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If a cube has a total surface area of 726 m², what is its volume?

Explanation

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