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Australian AMC 2012 - Middle Primary Question 26

AMC AUSTRALIA · Australian AMC 2012 - Middle Primary

Question 26

A $5\times5\times5$ cube has a $1\times1\times5$ hole cut through from one side to the opposite side, a $3\times1\times5$ hole through another and a $3\times1\times5$ hole through the third as shown in the diagram.

How many $1\times1\times1$ cubes are removed in this process?

Question illustration