Answer:
[tex]V=186.1\ m^3[/tex]
Step-by-step explanation:
Volume of a Pyramid
The volume of a pyramid with base area Ab and height H is given by:
[tex]\displaystyle V=\frac{A_b*H}{3}[/tex]
If the base is a square of side length L, then its area is:
[tex]A_b=L^2[/tex]
Thus, substituting the above equation in the first:
[tex]\displaystyle V=\frac{L^2*H}{3}[/tex]
The side length is L=10.9 m and the height is 4.7 m, thus the volume is:
[tex]\displaystyle V=\frac{10.9^2*4.7}{3}[/tex]
[tex]\displaystyle V=\frac{558.407}{3}[/tex]
[tex]\boxed{V=186.1\ m^3}[/tex]
