contestada

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?

Respuesta :

Answer:

[tex]V=6.28\times 10^6\ cm^3[/tex]

Step-by-step 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 :

[tex]V=\dfrac{1}{3}Bh\\[/tex]

B is area of base, [tex]B=147\times 147=21609\ ft^2[/tex]

i.e.

[tex]V=\dfrac{1}{3}\times 21609\times 873\\\\V=6288219\ ft^3[/tex]

or

[tex]V=6.28\times 10^6\ cm^3[/tex]

So, the volume of the pyramid is [tex]6.28\times 10^6\ cm^3[/tex].

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