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A wooden cube measuring $11$cm by $11$cm by $11$cm is made from $11^3$ centimetre cubes. What is the greatest number of centimetre cubes visible from any point?

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.**View the archive of all weekly problems grouped by curriculum topic*