A box is to be made out of a 6 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of z. V:C]cm3 (b) Give the domain of V' in interval notation. (Use the fact that length, width and volume must be positive.) a (c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that W