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2019 SAIMC keystage3-IWYMIC individual Question 12

xIMC · 2019 SAIMC keystage3-IWYMIC individual

Question 12

In the figure below, there is a certain number of cubes that are piled on top of each other to form a triangular tower that fits one corner of a room. If we use exactly $1330$ identical cubes, then how many levels does the tower have?

Note that not all cubes can be seen from this view.

Question illustration