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IMAS 2018 — Middle Primary Grades 3–4 — Round 1 Question 21

IMAS · IMAS 2018 — Middle Primary Grades 3–4 — Round 1

Question 21

Put some unit cubes into a 3D model such that in the model, each cube touches some other cubes in at least one point. It is known that the model looks like the figure below from three directions of upright front, left and top. What is the least number of unit cubes needed to make such a model?

Question illustration