posted by moshie
A box with an open top is to be constructed by cutting equal-sized squares out of the corners of a 18 inch by 30 inch piece of cardboard and folding up the sides.
a) Let w be the length of the sides of the cut out squares. Determine a function V that describes the volume of the finished box in terms of w.
b) What width w would maximize the volume of the box?
w = inches
c) What is the maximum volume?
V = cubic inches