Question 29189
Let x = the length of the side of the square to be cut from each corner of the original 4 X 6 piece of cardboard.
The dimensions of the base of the newly-formed box will be: (4 - 2x) X (6 - 2x) and, of course, the height will be x. Now you can write the function for the volume, V, of the newly-formed box, based on the formula for the volume of a rectangular prism (box): V = L*W*h

{{{V = (4-2x)(6-2x)x}}} Simplify.
{{{V = (24-20x+4x^2)x}}}
{{{V = 24x-20x^2+4x^3}}} Rewrite as:
{{{V = 4x^3-20x^2+24x}}}