contestada

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.3\text{ ft}7.3 ft and the height of the pyramid is 6\text{ ft}6 ft. Round your answer to the nearest tenth of a cubic foot.

Respuesta :

Answer:

[tex]V=6.66\ ft^3[/tex]

Step-by-step explanation:

The perimeter of the square base of a pyramid = 7.3 ft

The height of the pyramid, h = 6ft

The perimeter of a square is given by :

P = 4s, s is the side of square

7.3 = 4s

s = 1.825 ft

The volume of a pyramid is given by :

[tex]V=\dfrac{lbh}{3}[/tex]

Here, l = b = 1.825 ft

So,

[tex]V=\dfrac{1.825\times 1.825\times 6}{3}\\\\V=6.66\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]6.66\ ft^3[/tex].