One-inch cubes must be packed into a rectangular packing box. Which of the following box sizes will accommodate the most cubes?

Explanation

All five boxes have the same volume: 1500 cubic inches. In the boxes described in each incorrect choice, however, space must be left empty along one of the faces of the box. On the other hand, the box with dimensions \(10^{\prime \prime} \times 15^{\prime \prime} \times 10^{\prime \prime}\) can be packed full of one-inch cubes without leaving any empty space.