NRICH: Cuboid Perimeters
Can you find the volume of a cuboid, given its perimeters?
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Age 14 to 16 Short
Challenge LevelThe ‘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 our short problems collection.
Age 14 to 16
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
Do you enjoy thought-provoking questions? If so, this is the place for you.
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Resource k12
Can you find the volume of a cuboid, given its perimeters?
-
Age 14 to 16 Short
Challenge LevelThe ‘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 our short problems collection.
Age 14 to 16
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
Do you enjoy thought-provoking questions? If so, this is the place for you.
