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IMSO 2018 — Math Division — Essay Question 2

IMSO Maths · IMSO 2018 — Math Division — Essay

Question 2

A $9\times9\times9$ cube is formed by using 729 unit cubes, each of size $1\times1\times1$. How many different cubes of different sizes can we find in this $9\times9\times9$ cube? (Note: Two cubes having the same size but are located at different positions must be counted as two different cubes)

Question illustration