At Pizza hut, they deliver for you, and in pizza boxes formed from 47 cm by 95 cm rectangular pieces of cardboard by cutting out eight squares of equal size, four from each of the 95 cm edges: In the figure below, one square from the corner on the left, one from the middle of edge, and two (side by side) from the corner on the right, to make a "lip" for the box. The result is then folded in the obvious fashion. (If it isn't obvious, order one with sausage and pepperoni and invite you TA and UA to investigate.) How does one obtain the box of largest volume?