I want to calculate the minimum surface area of a (closed) box for a given volume. So let’s say I have a given volume V (e.g. V=10m^3). And I need a box where all the surface area is as minimal as possible. This would be a great starting point if I knew how to calculate that.
To make things more complicated: Let’s say I have a given volume V but also I have a limit for the height of the box. So the height would be a certain measurement h (or higher), length and width would still be variable.
If you could answer my first question that would already be great. I think for the second problem I could also just do the same calculation/minimization and just work with a given area A (A = V/h).