Question

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.

Answer 1

`V=6.66\ ft^3`

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 :

`V=(lbh)/(3)`

Here, l = b = 1.825 ft

So,

`V=(1.825* 1.825* 6)/(3)\\\\V=6.66\ ft^3`

So, the volume of the pyramid is equal to
`6.66\ ft^3`.