The volume (in m3) of a cube, each of whose edges is 36 m, is:

Concept

For a cube of edge length a, all three dimensions are a, so its volume is V = a3 = a × a × a. Volume is measured in cubic units because three lengths are multiplied.

Application

1. Set the edge length: a = 36 m.

2. Square the edge: a2 = 36 × 36 = 1,296.

3. Multiply by the edge once more: a3 = 1,296 × 36 = 46,656.

4. Therefore, V = 46,656 m3.

Cross-check

Since 36 = 62, we also have 363 = 66 = (63)2 = 2162 = 46,656, confirming the result independently.