Can Excel solver or other formulas optimize an inventory of empty boxes based on size?

I have 200+ empty boxes and have entered their size values, both internal and external into a spreadsheet. I was hoping to find a way to find the optimal nesting solution for minimal overall volume. I have done some work manually and I can do some sorting, hiding, and calculations, etc with my data set. But I'm not advanced enough to know what other tools are out there. Before I keep working on it, I thought I'd post the simplified data set and see if anyone had any suggestions to add to the sheet or walk me through a solution.

The basis premise is that I need the program to take external dimensions of each box and find the appropriate space in another box's internal dimensions, realizing that L W and H can all be interchanged and that unused space in a large box can be used by a second or third box in the nesting process?

Thanks