Answer:
To find the volume of a triangular pyramid, we use the formula:
Volume = (1/3) * Base Area * Height
In this case, we have a triangular pyramid with a base that is a triangle with sides of 3 m, 6.6 m, and 8 m. To find the area of this triangle, we can use Heron's formula:
s = (a + b + c) / 2
Area = sqrt(s(s-a)(s-b)(s-c))
where s is the semiperimeter of the triangle.
Using these formulas, we can calculate the volume as follows:
s = (3 + 6.6 + 8) / 2 = 8.8
Area = sqrt(8.8(8.8-3)(8.8-6.6)(8.8-8)) = 12.72 m^2
Height = 6.1 m
Volume = (1/3) * 12.72 * 6.1 = 25.96 cubic meters
Therefore, the volume of the triangular pyramid is approximately 25.96 cubic meters.