1. The problem statement, all variables and given/known data Suppose that you are the manager of a sheet metal shop. A customer asks you to manufacture 10,000 boxes, each box being open on the top. The boxes are required to have a square base and a 9 cubic foot capacity. You construct the boxes by cutting out a square from each corner of a square piece of metal and folding along the edges. What are the dimensions of the square to be cut if the area of the square piece of sheet metal is 100 square feet? 2. Relevant equations _|____|_ ..|.......| _|____|_ x|.......| Let x = the dimension of the square you cut out. Then the dimension of the inner square is (10 - 2x). The box has a base of (10 - 2x) by (10 - 2x) and a height of x. 3. The attempt at a solution (10-2x)2x=9 4x^3-40x^2+100x-9=0 I'm not sure if I'm even interpreting this problem correctly, because I can't even factor it. I think the part that's throwing me off is the "10,000 boxes" that must be made. I'm not sure how to add it into the equation. Any help is appreciated!