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MathNet 2010 — Part 02 Question 30

Math Olympiad Vault · MathNet 2010 — Part 02

Question 30

Ana has a cube of $10~\mathrm{cm}$ on the side. She cut the cube into cubes of $1~\mathrm{cm}$ on the side and, with these cubes, she plays with forming other rectangular blocks, but without cubes. For example, it formed a block of $10 \times 20 \times 5$. In total, how many different blocks can she build with these cubes, without any? Question illustration