dimension 5 of the blocks along the dimension 15 of the carton, and the
dimension 4 of the blocks along the dimension 16 of the carton. By placing the
blocks in the carton in this way, you will completely fill up the rectangular
carton. The number of times you can place the dimension 7 of a block along
the dimension 14 of the carton is or 2. The number of times you can place
the dimension 5 of a block along the dimension 15 of the carton is or 3.
The number of times you can place the dimension 4 of a block along the
dimension 16 of the carton is or 4. So it is possible to fill the volume of the
carton completely with 2 × 3 × 4 = 6 × 4 = 24 rectangular blocks. Thus, the
maximum number of rectangular blocks that can be placed in the carton is 24.
Now all that remains is to find the surface area of one rectangular block and
multiply that by 24. The formula for the surface area S of a rectangular solid
having a length ℓ, a width w, and a height h is