A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out squares of length h from the corners and folding up the sides.

Question

Find the value of h that maximizes the volume of the box if A = 8 and B = 5.

Answer 1

V(h) = (8 - 2h)(5 - 2h)h

Expland V

Determine V'(h) and h for V'(h) = 0