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Cuboid Perimeters

Age 11 to 14 Short Challenge Level:

The 'perimeter' of a cuboid can be measured along three axes. One 'perimeter' of this cuboid is shown below.

If the perimeters of a cuboid are 12 cm, 16 cm and 24 cm, what is the volume of the cuboid?

This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.