You have been hired by the “Red Oaks” carpentry company to design a closet in the shape of a rectangular prism. The closet is to have a maximum volume of 180 ft^{3}. The dimensions of the closet are as follows: h=(x-9) ft, w=?, and l=?
If the volume is given by the polynomial function v(x)=x^{3}-31x^{2}+238x-360
What are potential length and width for this shape?
Length: _______ and width: _______