Part 1 of A box with a square base and open top must have a volume of 119164 cm. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. A(x) = 23+476656 H Next, find the derivative, A'(x). Part 2 of 4