00:01
Alright, so this problem is kind of a tricky question.
00:04
There's an easy question hidden in a really, really hard question.
00:10
So we have this log, and in this log it's 20 feet long, which doesn't really matter, and then the diameter of the end, the smallest end, is 30 inches.
00:31
Okay, and we want to cut out, the key word in this is cutting out the largest piece of square timber.
00:38
So we know it's going to be 20 feet long, you know, because we'll cut a piece, we'll cut a board out, a plank, i guess, you know, going back 20 feet.
00:51
It's going to, you know, we're going to cut a big square in the circle here, and then that's going to go back all the way to the end of the log, like that.
01:14
That's what it's going to be.
01:15
So really, all we have to do is figure out what's the biggest square we can cut out of this circle in the front.
01:20
So we have this circle in the front, we just got to figure out how big of a square can we cut out of this thing.
01:28
And the key thing is square, it needs to be a square, not a rectangle.
01:33
So, well, we know the diameter is 30 inches, so if this, we connect these two corners, we know this is 30 inches, right? and then these two sides are the same, x and x, and so we know that x squared plus x squared is going to equal 30 squared from the pythagorean theorem, 2x squared is going to equal 900, and we divide by 2, so x squared is going to equal 450...