we are given a sheet tin of measures 40 * 20
V(x)=?
the volume of the box is given by
[tex]V=width*length*height[/tex]
where
[tex]length=40-2x[/tex][tex]width=20-2x[/tex][tex]height=x[/tex]
then
[tex]V(x)=(40-2x)*(20-2x)*(x)[/tex][tex]V(x)=4x^3-120x^2+800x[/tex]
