posted by Terry on .
A manufacturer uses a 28 x 41 metal sheet to construct an open box by cutting out squares from each corner. What length square should be cut to maximize volume?
let each side of the squares cut out be x units
length of box = 41-2x
width of box = 28-2x
height of box = x
volume = x(41-2x)(28-2x)
expand and simplify, you will have a cubic
find the derivative, that will be a quadratic
set it equal to zero, and solve using the quadratic formula