Multiple choice

The lateral surface area of a cube is 100 $m^{2}$. The volume of the cube is :

  1. 1000 $m^{3}$
  2. 100 $m^{3}$
  3. 25 $m^{3}$
  4. 125 $m^{3}$
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D Correct answer
Explanation

Lateral surface area of a cube = 4 * a^2 = 100. So a^2 = 25, a = 5. Volume = a^3 = 5^3 = 125 m^3.

AI explanation

The lateral surface area of a cube with side length s is given by the formula 4 * s^2. Setting this equal to the given area results in 4 * s^2 = 100, so s^2 is 25 and the side length s is 5 m. The volume of the cube is then found using V = s^3, which gives 5^3 = 125 m^3.

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