A rectangular box has dimensions 6 cm by 4 cm by 3 cm. A cube has side length 5 cm. Find the difference between the volume of the rectangular box and the volume of the cube.

Step-by-step solution

1. Compute volume of rectangular box: $V_1=6\times 4\times 3=72$ cm${}^3$.
2. Compute volume of cube: $V_2=5^3=125$ cm${}^3$.
3. Find absolute difference: $|V_2-V_1|=|125-72|=53$ cm${}^3$.
4. Hence the difference between the two volumes is $53$ cm${}^3$.

Concept tested: Volume of prism and cube

Published 4 October 2026 · How this solution was prepared and checked