A piece of cardboard measures 10 in. by 15 in. Two equal squares are removed from the corners of a 10-in. side. Two equal rectangles are removed from the other corners so that the tabs can be folded to form a rectangular box with lid.

a. Write a formula V(x) for the volume of the box.

b. Find the domain of V for the problem situation and graph V over this domain.

c. Use a graphical method to ind the maximum volume and the value of x that gives it.

d. Confirm your result in part © analytically.