Question

How many cuboids of size $4cm\times 3cm\times 1cm$4cm×3cm×2cm can be inscribed on cube of size $12cm\times 12cm\times 12cm$?

Answer 1

Volume of 1 small cuboid $=4\times 3\times 1$

Volume of Cube to be inscribed $=12\times 12\times 12$

Hence, Number of cuboids required to be inscribed on cube $=\frac{12\times 12\times 12}{4\times 3\times 1}=12\times 12=144$