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Australian AMC 2012 - Upper Primary Question 25

AMC AUSTRALIA · Australian AMC 2012 - Upper Primary

Question 25

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.

The number of $1\times1\times1$ cubes removed in this process is

Question illustration
  1. 25
  2. 29
  3. 36
  4. 48
  5. 92