Question

A cuboid measures 15 cm by 6 cm by 10 cm. A smaller cuboid measures
5 cm by 2 cm by 5 cm. What is the maximum number of the smaller
cuboids tha
s that can be put into the larger cuboid?

Answer 1

Large volume = 15·6·10 = 900 cm^3. Small volume = 5·2·5 = 50 cm^3. 900/50 = 18, so at most 18 small cuboids can fit.

They do fit: place 3 along the 15 cm side (3×5), 3 along the 6 cm side (3×2), and 2 along the 10 cm side (2×5), giving 3·3·2 = 18.