Question

Find the volume of a pyramid with a square base, where the perimeter of the

base is 12.8 m and the height of the pyramid is 12.5 m. Round your answer

to the nearest tenth of a cubic meter.

Answer:

m3

Submit Answer

Answer 1

`42.7\,\,cubic\,\, meters`

Explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 =
`4(side\,\,of\,\,a\,\,square)`

side of a square =
`(12.8)/(4)=3.2\,\,m`

Area of a square (A) =
`(side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2`

Height of the pyramid (h) = 12.5 m

Volume of the pyramid =
`(Ah)/(3)=(1)/(3)(10.24)(12.5)=42.7\,\,cubic \,\,meters`