Question

An open top box is to be constructed from a sheet of tin that measures 40” x 20” by cutting out squares from each corner as soon and then folded up the left side

Answer 1

we are given a sheet tin of measures 40 * 20

V(x)=?

the volume of the box is given by

$V=width*length*height$

where

$length=40-2x$$width=20-2x$$height=x$

then

$V(x)=(40-2x)*(20-2x)*(x)$$V(x)=4x^3-120x^2+800x$