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Australian AMC 2020 - Junior Question 28

AMC AUSTRALIA · Australian AMC 2020 - Junior

Question 28

Starting with a $9\times9\times9$ cube, Augusta removed as few $1\times1\times1$ cubes as possible so that the resulting sculpture had front view, top view and side view all the same, as shown.
How many $1\times1\times1$ cubes did Augusta remove?

Question illustration