NRICH: Cuboid Perimeters

Can you find the volume of a cuboid, given its perimeters?

The ‘perimeter’ of a cuboid can be measured along three axes.

One ‘perimeter’ of this cuboid is shown.

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 ourĀ short problems collection.

Age 14 to 16

Algebra & Pre-Algebra, Geometry, Linear Equations
High School

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