00:01
Alright, it says find the volume and surface area round to the nearest hundredth when necessary.
00:11
Let's start with volume first.
00:14
Volume is always going to be related to the volume of a prism, which is base times height.
00:22
However, since this is a pyramid, we take one third of that.
00:29
So as we look at our shape, we see it's a square pyramid.
00:33
Area of the base is going to be 20 times 20, which is 400.
00:41
The height of my pyramid is 10 .5.
00:48
So we wind up with a result of 1400 cubic inches.
01:00
Alright, to find the surface area of the prism, what we do is we take the area of the base and then we do want to find the lateral area, which is related to triangles because all they are shaped are triangles.
01:17
So instead of doing one half base times height, we can actually do one half times p, which is the perimeter.
01:25
That would be essentially the base of your triangles.
01:28
And then we do need our slant height...