Think, if x and y are not equal what happens to the open box when you "put it together"?
I really feel like I'm going on the wrong track on this problem:
A rectangular piece of cardboard, by , is going to be used to make a rectangular box with an open top by cutting congruent squares from the corners. Calculate the dimensions for a box with the largest volume.
What I did so far was find height to either or . Is that correct?
Also, area is ?
What would I do next?
Our variables meant different things, so I'm sorry I made things harder for you.
Y is the length left after you cut the two corners from the 100 side and x is the length after you cut from 40. '
I understand your confusion with my answer.
Nonetheless h will be equal to h, no?
So x=y-60.
Now you can put the Volume in terms of x or y solely and solve by using derivatives and max. points.
go to the link ...
Optimization Problems
... scroll down to problem #5.