A rectangular tank that is 87888788 ft cubedft3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.

Respuesta :

We assume the material has the same thickness for sides and bottom. In that case, the problem is the same as minimizing the surface area of the box. (See https://brainly.com/question/9600476 for a discussion of this problem in general.)

The dimensions of the edge of the base are
  ∛(2×8788 ft³) = 26 ft

The box is 26 ft square and 13 ft high.