I have two questions left in my current chapter that I am having a hard time with. I think I am having a brain fade for the first one.

However, the second one is actually really hard for me and I don't know what to do.

1. A cardboard box without a top is to have volume 13500 cubic cm. Find the dimensions which minimize the amount of material used. List them in ascending order.

2. Find the volume of the largest rectangular box with edges parallel to the axes that can be inscribed in the ellipsoid:

Thanks for any help.