Question

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

Answer 1

Answer:

$42.7\,\,cubic\,\, meters$

Step-by-step 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 = $\frac{12.8}{4}=3.2\,\,m$

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 = $\frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters$