A 5324 cubic foot tank with square base and an open top is to be constructed of a sheet of steel of a given thickness. Find the length of a side of the square base of the tank with minimum weight.
The Attempt at a Solution
I'm usually fairly decent at optimization questions. Is this solvable with the given information? It seems to me to be missing something because no values or relationships are ever assigned to weight. I don't even know where to start; I can easily set up an equation for volume, but I also need to find an equation for weight. If you think it's solvable, please do not give me the solution. Just nudge me in the correct direction. :)