4- Word Problem: A box with a top is to be made from one sheet of paper that is 28 cm by 20 cm. Squares need to be cut from two corners of the sheet and rectangles from the other two corners to create flaps that fold up to make the sides of the box. (See diagram. If you can not visualize the box, then get a piece of paper and cut and fold it as shown in the diagram.) The volume of the box is to be 450 cubic centimeters. What are the dimensions of the square cut-outs to get the correct volume? Follow the checklist below. [You may solve the equation graphically using software for full marks. You do not need to factor the equation.]

Cut Cut SIDE out out FOLD SIDE BOTTOM SIDE FOLD.. FOLD FOLD- SIDE Cut FOLD out Cut out TOP