Cube pile

Rick has five cubes, each one 2cm taller than the previous one. The largest is the same height as a tower built of the two smallest. How high would a tower of all five cubes be?

Problem



Rick has five cubes. Each one is 2cm 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.