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Australian AMC 2020 - Senior Question 29

AMC AUSTRALIA · Australian AMC 2020 - Senior

Question 29

Starting with a $9\times9\times9$ cube, Steve mined out nine square tunnels through each face so that the resulting solid shape had front view, top view and side view all the same, as shown.
Going from the original cube to the perforated cube, how much did the surface area increase?

Question illustration