00:01
So we have this rectangular swimming pool and it is 100 feet by 150 feet and it contains 200 ,000 gallons of water.
00:11
We want to determine how deep it is.
00:16
Let's think about this.
00:18
So maybe drawing a picture will help.
00:22
So this is our pool.
00:24
So it's 100 feet by 150 feet.
00:28
And it is some amount deep and we don't know how deep it is yet.
00:33
So we'll just call this our depth d.
00:38
Well, we know the volume of a rectangular prism, which is what we have here, is length times width times depth, or we normally say height.
00:51
But same thing.
00:52
And we want to solve for depth, so we can just go ahead and divide each side by l over w.
01:00
And that's going to give us that d is equal to v over lw.
01:06
And actually let's scoop this over a little bit because i'll need to do some conversions.
01:13
Now that l times w is what we have right here.
01:17
So let's just go ahead and figure out what that is.
01:19
So that's going to be one or 15 ,000 feet squared...