Solution:
Given:

a) When the width is 5 inches,
Substitute w = 5 into the equation.

Therefore, the volume of the prism is 90 cubic inches.
b) Factor the polynomial

Therefore, the completely factored polynomial is w(w-3)(2w-1)

c) If w = 5 inches;

It relates using the formula of volume of a rectangular prism;

d) The graph of the function is shown below;
The x-intercepts are;

In terms of the situation, the x-intercepts means when