A pyramid shaped building is 873 ft tall with a square base that is 147 ft on each side. What is the volume of the pyramid?

Question

asked Mar 6, 2021 142k views

1 Answer

Pete Lunenfeld · Answer 1 · 2021-03-12T04:16:43+0000

Answer:

$V=6.28* 10^6\ cm^3$

Explanation:

We have,

Height of pyramid shaped building, h = 873 ft

This pyramid consists of a square base that is 147 ft on each side.

It is required to find the volume of the pyramid. When the base of pyramid is square, its volume is given by :

$V=(1)/(3)Bh\\$

B is area of base,
$B=147* 147=21609\ ft^2$

i.e.

$V=(1)/(3)* 21609* 873\\\\V=6288219\ ft^3$

or

$V=6.28* 10^6\ cm^3$

So, the volume of the pyramid is
$6.28* 10^6\ cm^3$ .