Copyright © University of Cambridge. All rights reserved.

'Twelve Cubed' printed from https://nrich.maths.org/

Show menu


In total there are $12\times12\times12$ or $12^3$ cubes with edge length $1$cm.

Each cube has twelve edges, so the sum of the lengths of the edges on one cube is $12$cm.

Therefore the total length of all the edges of all the centimetre cubes is $12^3\times12 = 12^4 = 20,736$cm

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