00:01
Let's work with this sheet of paper and make a box and maximize the volume.
00:05
So what we want to do here is we want to cut out the corners, and that will allow us to fold up these corners on these dotted lines, which will make the box.
00:16
Now your picture draws a good shape of the box.
00:18
So we know that this is going to be x.
00:20
We're interested in the volume, volume being length times width times height.
00:25
We now know our height is x.
00:27
Oops, x, not h.
00:28
Let me go raise that.
00:31
Okay.
00:32
Now what about our length and our width? well, let's start here.
00:36
We are looking for this line right here.
00:38
Well, this whole line is 6, and we're removing x here and here.
00:43
So we're subtracting x, subtracting x, subtracting x.
00:45
So that's going to have a length of 6 minus 2x...