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Cube Pile

Stage: 3 Short Challenge Level: Challenge Level:1

Rick has five cubes. Each one is $2\text{cm}$ taller than the previous one.
The largest cube is the same height as a tower built of the two smallest cubes.

How high would a tower of all five cubes be?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.