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Twelve Cubed

Age 14 to 16 Short Challenge Level:

A wooden cube with edges of length $12$cm is cut into cubes with edges of length $1$cm.
What is the total length of all the edges of all these centimetre cubes?

 

If you liked this question, here is an NRICH task which challenges you to use similar mathematical ideas.

 

 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.