Question

An open box is to be constructed from
a piece of cardboard 20 cm by 40 cm by cutting squares of
side length x from each corner and folding up the sides, as
shown in the figure.
(a) Express the volume V of the box as a function of x.
(b) What is the domain of V? (Use the fact that length and
volume must be positive.)
(c) Draw a graph of the function V and use it to estimate
the maximum volume for such a box.