2. An open box is constructed from a rectangular sheet of metal, 8in. by 15 in., by cutting out squares with sides a from each corner and bending up the sides. (a) Give a formula for the volume V as a function of a. (b) Find the domain of V(z), taking into account not only the algebraic aspect, but also the real (applied) interpretation of z. (c) Plot the graph of the function V(z) in your calculator and use that to estimate its range. Explain your answer