Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.3 Junior Find the answer

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. Spacing and $ signs are ignored.

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.

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