An open box with a square base is to be made from a square piece of cardboard 18 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. answer parts (a)-(d)
a) express the volume V of he box as a function of the length x of the side of the square cut from each corner.
b) what is the volume if a 4-inch square is cut out?
c) what is the volume if a 15-inch square is cut out
d) graph v=v(x). for what value of x is v largest?