A large cube with edge length 2.4 m is to be completely filled with identical small cubes, each having a side length of 6 cm. How many small cubes are needed?

Step-by-step solution

1. Convert the side of the large cube to centimetres: $2.4\text{m}=240\text{cm}$.
2. Determine how many small cubes fit along one edge: $240\text{cm}/6\text{cm}=40$.
3. Since the arrangement is three‑dimensional, total cubes $=40^3$.
4. Compute $40^3=64,000$.
5. Thus, 64 000 small cubes are required.

Concept tested: Packing small cubes in larger cube

Published 13 October 2026 · How this solution was prepared and checked