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Problem 32

Geometry Difficulty 1.1 Multiple choice CEMC Fermat · Canada · 2024

How many solid $\$1\times 1\times$
1 $cubes are required to make a solid$ $2\times 2\times$ 2$ cube?

Pick one

Official solution

The volume of a $1 $\times 1 \times$
1$ cube is 1.

The volume of a $2 \times 2 \times 2$
cube is 8.

Thus, $8$ of the smaller cubes are
needed to make the larger cube.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.