00:01
Let's say we've got our square piece of cardboard that we're going to cut out some corners of.
00:07
And i've also got kind of a sketch of what the open box will look like as well.
00:14
So we know we want to cut out some squares from the corner so that when we fold them up, it will create a box.
00:27
And we know that the side lengths of those squares are three inches.
00:34
So up here's three inches all the way across.
00:42
Now if you imagine cutting those out and folding those flaps to make a box, then the height of the box will be three inches.
00:52
So that is really important.
00:54
So now if we look at our box over here, since it's a square base, then we know that the sides will be the same on the box.
01:05
Bottom.
01:06
So let's say they're x and x.
01:09
So therefore, we could also label over here on our piece of cardboard that we're cutting and folding, we could label from there to there x because when we take out the square pieces here that are three inches, then this that is left will make one side of the base and this will make another side of the base and all of those will be a length of x.
01:37
So now that we've got this, in order to find the volume, we can do that volume is equal to the length times the width times the height.
01:50
So we know that the height is three, and the length and the width are the same.
01:56
It's x and x...