math challenge

Week of April 21 - 27, 1997

Building Boxes with Bob

Bob is a box-builder.
All of his boxes have a height that is twice the width, and a width that is one-third the length.

All of his boxes have integer lengths in meters.
The biggest box has a height of 72 meters.
How many boxes will Bob build if he builds one of each possible set of dimensions?

See the solutions