a cookie company packages its cookies in a rectangular prism box designed with square bases which have both a length and a width of 4 inches less than the height of the box. write a polynomial expression that represents the volume of a box with height x inches

Accepted Solution

Represent your unknowns:  Let s be the length of one side of the box.  The relationship between s and x is s = x-4.

The volume of the box is (length)(width)(height), which here equals the following:  V(x) = (x-4)*(x-4)*(x).  You may either leave this result as is, or shorten it to V(x) = (x-4)^2*x, or expand (x-4)*(x-4)*(x).