Answer:
[tex]42.7\,\,cubic\,\, meters[/tex]
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 = [tex]4(side\,\,of\,\,a\,\,square)[/tex]
side of a square = [tex]\frac{12.8}{4}=3.2\,\,m[/tex]
Area of a square (A) = [tex](side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2[/tex]
Height of the pyramid (h) = 12.5 m
Volume of the pyramid = [tex]\frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters[/tex]
