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MathNet 2020 — Math Olympiad Vault — Part 01 Question 69

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 01

Question 69

A mason has bricks with dimensions $2 \times 5 \times 8$ and other bricks with dimensions $2 \times 3 \times 7$. She also has a box whose interior has dimensions $10 \times 11 \times 14$. The bricks and the interior of the box are all rectangular parallelepipeds. The mason packs bricks into the box filling the entire volume of its interior. How many bricks does she pack in the box?