Cubic Masterpiece

Weekly Problem 49 - 2014
A blue cube is cut into 27 smaller cubes of equal size. What fraction of the total surface area of these cubes is blue?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem



A solid wooden cube is painted blue on the outside. The cube is then cut into 27 smaller cubes of equal size.

What fraction of the total surface area of these new cubes is blue?

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