Given:
The given figure is a square pyramid.
The side length of the base of the pyramid is 6.6 feet.
The height of the pyramid is 12.672 feet.
We need to determine the volume of the pyramid.
Area of the base:
The area of the base can be determined using the formula,
[tex]A=a^2[/tex]
where a is the side length of the base.
Substituting a = 6.6, we get;
[tex]A=6.6^2[/tex]
[tex]A=43.56 \ ft^2[/tex]
Thus, the area of the base is 43.56 square feet.
Volume of the pyramid:
The volume of the pyramid can be determined using the formula,
[tex]V=\frac{1}{3}Ah[/tex]
where A is the area of the base and h is the height of the pyramid.
Substituting A = 43.56 and h = 12.672, we get;
[tex]V=\frac{1}{3}(43.56)(12.672)[/tex]
[tex]V=184 \ ft^3[/tex]
Thus, the volume of the pyramid is 184 cubic feet.
