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Which is a better fit, a square peg in a round hole or a round peg in a square hole?

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A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?

Cuboid Faces

Age 11 to 14 Short Challenge Level:

The faces of a cuboid have areas of 12, 18 and 24 square centimetres.

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.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
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