Sal does another optimization example, this time, minimizing the total cost of an open rectangular box. In this problem, the volume can be defined in terms of a single variable and given a cost model, he builds a cost equation. He finds...

If you are making a box out of a flat piece of cardboard, how do you maximize the volume of that box? Sal Khan demonstrates the solution in this video. [9:50]

This video lesson shows how to maximize the volume of a box.

In this video you can see how to maximize the volume of a box analytically.