kipriankuzmin3329 kipriankuzmin3329
  • 10-06-2020
  • Mathematics
contestada

A pyramid shaped building is 836 ft tall with a square base that is 156 ft on each side. What is the volume of the​ pyramid?

Respuesta :

jmonterrozar
jmonterrozar jmonterrozar
  • 11-06-2020

Answer:

6781632 ft ^ 3

Step-by-step explanation:

The first thing is to know the formula for the volume of a pyramid:

V = 1/3 * Ab * h

That is, it is one third of the product between the area of the base and the height.

The base area would be:

Ab = l ^ 2

the side equals 156 ft, replacing:

Ab = 156 ^ 2

Ab = 24336 ft ^ 2

now, replacing in the volume formula:

V = 1/3 * 24336 * 836

V = 6781632

Which means that the volume of the pyramid is 6781632 ft ^ 3

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