Volume puzzles

Immersion by NRICH

This problem could be altered. Choose any number of solids, each having the same volume.


The areas of the faces of a cuboid are 3, 12, and 25 square cm. What is the volume of the cuboid?

The areas of the faces of a cuboid are \(p,\) \(q,\) and \(r.\) What is the volume of the cuboid?

Can this be done for other solids, for example, a cone?