Math CentralQuandaries & Queries


Question from Bob, a student:

Rick has five cubes. When he arranges them from smallest to largest, the difference between the heights of any two neighbouring cubes is 2 cm. The largest cube is as high as a tower built from the two smallest cubes. How high is a tower built from all five cubes?


Suppose the height of the smallest cube is $h.$ What is the height of the next larger cube? And the next after that?

The sum of the heights of the two smallest cubes is equal to the height of the largest cube. Solve for $h.$


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