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CEMC Gauss (Grade 7), 2004

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

What is the maximum number of rectangular wooden blocks with dimensions $20\text{ cm}\times 30\text{ cm}\times 40\text{ cm}$ that could fit into a rectangular box with inner dimensions $40\text{ cm}\times 60\text{ cm}\times 80\text{ cm}$ ?

(A) $2$ (B) $4$ (C) $10$ (D) $8$ (E) $6$

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