1. A box with a square base and no top is to be made from a square piece of cardboard by cutting 2 in. squares from each corner and folding up the sides. The box is to hold 9248 in³. How big a piece of cardboard is needed?

Your answer is: _____ in. by _____ in.

2. You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum? The circumference of the circle is _____ cm.

3. A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $10 the average attendance has been 22000. When the price dropped to $8, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price. What ticket price would maximize revenue? $_____