A box is to be made out of a 6 cm by 18 cm piece of cardboard. Squares of side length x 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 x. V = x(18-2x)(6-29
(b) Give the domain of V in interval notation. (Use the fact that length, width and volume must be positive.) cm
(c) Find the length L, width W, and height H of the resulting box that maximizes the volume. (Assume that WS L) cm W= E cm i cm cm.
(d) The maximum volume of the box is
