Weekly Problem 6 - 2013

Stage: 3 Challenge Level: Challenge Level:1
A snail is at one corner of the top face of a cube with side length $1$m. The snail can crawl at a speed of $1$m per hour. What proportion of the cube's surface is made up of points which the snail could reach within one hour?

This problem is taken from the UKMT Mathematical Challenges.

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