Multiple choice

The surface of a cube is $486$ square metres. Find its volume.

  1. $729{m}^{3}$
  2. $972{m}^{3}$
  3. $486{m}^{3}$
  4. $792{m}^{3}$
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A Correct answer
Explanation

Surface area of cube = 6a^2 = 486. a^2 = 81, so a = 9. Volume = a^3 = 9^3 = 729.

AI explanation

The surface area of a cube is 6 * s^2, where s is the side length. Setting 6 * s^2 = 486, we find s^2 = 81, meaning the side of the cube is 9 meters. Applying the volume formula for a cube, the volume is 9^3 = 729 cubic meters.

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