An open box can be made from a rectangular piece of cardboard by cutting a square of lengthxfrom each corner and bending up the sides. See the figure below. If the cardboard measuresa=22cm byb=32cm, then the volume of the resulting box is given by

V(x) =x(222x)(322x).

Sketch the graph ofV(x) forx> 0.

What is the domain of the functionV? (Assume that the volume must be greater than 0. Enter your answer using interval notation.)