An open box is to be made from a...

Question

An open box is to be made from a 15 ft by 40 ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.

The maximum volume is ____ ft³.

Answer 1

V = (x)(15 - 2x)(40 - 2x)

Determine V'(x) and set equal to zero, 0.