An open-topped box is made from a piece of cardboard that is 18 inches by 32 inches by cutting squares of equal size from each corner and bending up the flaps (see p. 210, Figure 4.9, of Ellis/Gulick for a picture). If the side of the squares is x inches, the volume V is the function v=Ax3+Bx2+Cx+D If we include the possibility of a volume of D, then the largest possible value forx is 12.96414795 x and the smallest possible value for X is 3.7025186? x To create the box with the largest possible volume, the square must have a length 3.70251367 9: inches. The largest possible volume is 9648123526 g9 cubic inches