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'Weekly Problem 18 - 2010' printed from http://nrich.maths.org/

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A wooden cube has three of its faces painted red and the other three of its faces painted blue. It is then cut into $27$ identical smaller cubes. How many of these new cubes have at least one red face and also at least one blue face?

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

 

 

This problem is taken from the UKMT Mathematical Challenges.

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