If the volume of the pyramid is 192 yd^3 and the area of the base is 64 yd^2, what is the height of the pyramid?

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- November 20th 2008, 07:30 PMmagentaritaHeight of Pyramid
If the volume of the pyramid is 192 yd^3 and the area of the base is 64 yd^2, what is the height of the pyramid?

- November 21st 2008, 06:27 PMRapha
- November 21st 2008, 06:39 PMDavid24

By defintion, the volume of a square based pyramid is given by

Vol = (1/3) x Perpendicular Height x Area of Base

Subbing in the known parameters yields

192 = (1/3) x Perpendicular Height x 64

Thus,

the Perpendicular Height = (3 x 192) / 64

Hope this helps,

Regards,

David - November 21st 2008, 07:40 PMmagentaritaok............
- November 21st 2008, 07:41 PMmagentaritaok...............