00:01
Okay, so it says the volume of a rectangular pyramid is 60 units cubed.
00:06
So in order to find the volume of a rectangular pyramid just so that you know, it's one -third times the base times the height, okay? the area of the base times the height.
00:19
So you could also use one -third times length, times width times height, okay? the width of the base is then scaled by a factor of three.
00:31
3.
00:33
Okay.
00:33
So that means that i'm multiplying the width by 3.
00:37
The length of the base is scaled by a factor of 2.
00:41
Okay.
00:43
And the height of the prism is scaled by a factor such that the resulting solid has a volume 12 times the original pyramid.
00:53
So 60 equals.
00:56
Okay.
00:57
So i have 60 equals 1 third of the length.
01:03
Times 2, the width times 3, and then the height times something.
01:13
And if i multiply that by 12, i'm going to get 60 times 12 is 720 equals 1 3rd.
01:30
Okay.
01:32
Determine the scale factor used for the height of the pyramid.
01:39
So, first of all, the volume of the pyramid is 60 units cubed...