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Find the volume of a pyramid with a square base, where the perimeter of the base is 10.7\text{ ft}10.7 ft and the height of the pyramid is 9.8\text{ ft}9.8 ft.

Respuesta :

Answer:

[tex]V=23.37\ ft^3[/tex]

Step-by-step explanation:

Given that,

The perimeter of the base of pyramid, P = 10.7 ft

The height of the pyramid, h = 9.8 ft

We need to find the volume of the pyramid.

The perimeter of square is given by :

4s = 10.7, s is side

s = 2.675 ft

Now the volume of pyramid is given by :

[tex]V=\dfrac{lbh}{3}\\\\=\dfrac{2.675^2\times 9.8}{3}\\\\V=23.37\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]23.37\ ft^3[/tex].

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