A sheet of cardboard 12x12 is used to make an open box by cutting squares of
equal size from the corners and folding up the sides. What size squares should
be cut to obtain a box with largest possible volume?

Question

A sheet of cardboard 12x12 is used to make an open box by cutting squares of
equal size from the corners and folding up the sides. What size squares should
be cut to obtain a box with largest possible volume?

anonymous · Answer

attachment

hartnn · Answer

so could you find the dimensions of box in terms of x ?

hartnn · Answer

height of the box ?

hartnn · Answer

sorry you were typing something....go on

directrix · Answer

Suppose we have a card that is L by W, and we want to cut some square corners (of length x by x) out so we can fold it into a box. http://mathforum.org/library/drmath/view/63090.html

directrix · Answer

V(x) = x*(12 - 2x)*(12 - 2x)

Find V'(x) to get the value of x which will maximize volume.