The sum of the lengths of all 12 edges of a cube is $132\text{ cm}$. Find the cube’s volume.

Step-by-step solution

1. 1. Let the side length be $a$. Each edge appears 12 times, so total edge length $12a=132$ cm.
2. 2. Solve for $a$: $a=\frac{132}{12}=11\text{ cm}$.
3. 3. Compute the volume using $V=a^3$.
4. 4. $V=11^3=1331{\text{ cm}}^3$.
5. 5. Hence the volume of the cube is 1331 cm${}^3$.

Concept tested: Edge length from sum of edges to volume

Published 16 October 2026 · How this solution was prepared and checked