We want to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is a 9 inch by 9-inch square. The volume v(x) in cubic inches of the open-top box is a function of the side length X in inches of the square cutouts. a. Write an expression for V(x).
b. What is the volume of the box when x=1?
c. What is a reasonable domain for V in this context?