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Problem 475

Geometry Difficulty 2.3 Find the answer CEMC Fermat

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

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

The volume of a $1 imes 1 imes 1$ cube is 1 . The volume of a $2 imes 2 imes 2$ cube is 8 . Thus, 8 of the smaller cubes are needed to make the larger cube.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.