Originally Posted by

**Wolvenmoon** Here's the problem:

"Find the volume of the largest open box that can be made from a piece of cardboard 24 inches square by cutting equal squares from the corners and turning up the sides."

I have no provided diagram, the answer is 1024 cubic inches.

Here's what I've done:

V=x*y*z

y = z, y*z = 24.

y=z=square root of 24 - 2x, substitute into the equation for volume, differentiate, set v'(x) = 0, solve, figure out which one doesn't break my domain, substitute into the original equation...and it doesn't work.