00:01
So in this problem, we are dealing with a water trough.
00:08
And the trough, i draw it here, say like this, has a rectangular open top on it, where this is 0 .3 meters, and this is 6 meters.
00:23
And these vertical ends are equilateral triangles here, like such, like that.
00:34
Okay? so now if i just focus on that end there, right? it ends an equilateral triangle.
00:41
Let me try this just a little bit bigger so that we can work with it like this.
00:50
That's 0 .3 meters on all sides.
00:58
Okay.
01:00
And we're told that the water trough is filled to half its depth.
01:06
So it's filled to here.
01:13
Half the depth.
01:16
And we're asked to find the volume of water in cubic meters.
01:28
Okay, so the first thing we need to do is try to figure out this height's right here, don't we? we need this height right here, which is half of that height.
01:41
And so i call this big triangle a, b, c, then i'm going to call this point o.
01:51
Actually, i'm going to call it point d, this point e.
02:03
I'm going to call this f, and of course that's g.
02:08
Just so we have all the points labeled here.
02:10
We may not use them all, but we'll have them all labeled.
02:14
Okay...