Multiple choice

The lateral surface area of a cube is (256\ m^2). The volume of the cube is

  1. $\(512\ m^3\)$
  2. $\(64\ m^3\)$
  3. $\(216\ m^3\)$
  4. $\(256\ m^3\)$
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A Correct answer
Explanation

The lateral surface area of a cube is the sum of its 4 vertical faces. Each face area = 256/4 = 64 m². Since area of a square face = side², we have side² = 64, so side = 8 m. Volume = side³ = 8³ = 512 m³.

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