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Australian AMC 2019 - Intermediate Question 22

AMC AUSTRALIA · Australian AMC 2019 - Intermediate

Question 22

A $4\text{ cm}\times4\text{ cm}$ board can have $1\text{ cm}^3$ cubes placed on it as shown.
The board is cleared, then a number of these cubes are placed on the grid. The front and right side views are shown.
What is the maximum number of cubes there could be on the board?

Question illustration

Question illustration
  1. 10
  2. 11
  3. 16
  4. 17
  5. 18