00:01
Okay, so the problem we were given is this rectangular prism with a volume of m cubed plus 8m squared plus 19m plus 12.
00:13
It also tells us that the height is m plus 3.
00:17
We are trying to find the area of the shaded, or this square at the bottom there.
00:27
Area would be length times width.
00:34
So we're trying to find what length times width is.
00:38
Well, we are given our v so we can plug this in here, and we are given an h so we can plug this in here.
00:50
So if we have the v equals l times w times h, to get the length and width by itself, we'll divide both sides by h.
01:01
So the problem we're wanting to solve is the volume divided by the height, because that will give me the area or this length times width.
01:18
Okay? so let's do that.
01:21
So i want to find the area by doing volume divided by height.
01:27
Well, it says my volume is m cubed plus 8m squared plus 19 ,000.
01:39
M plus 12 and my height which i'm going to divide by is m plus three so we always look at our first term what do i need to multiply m by to get n cubed well that would be m squared okay so n times n squared will get me n cubed and then i multiply it by the three as well so i would get three m squared.
02:17
And now i subtract.
02:20
So m cubed minus m cubed cancels.
02:23
8m squared minus 3n squared will get me 5m squared.
02:29
I bring down my 19n and i look at the first term again...