Answer:
the volume of the triangular pyramid with dimensions 8 m x 10 m x 20 m is approximately 266.7 cubic meters.
Explanation:
To calculate the volume of a triangular pyramid, we can use the formula:
Volume = (1/3) * base area * height
where base area is the area of the triangular base and height is the height of the pyramid.
In your case, the base of the pyramid is a triangle with base 8 m and height 10 m, so its area can be calculated as:
Base area = (1/2) x base x height
Base area = (1/2) x 8 m x 10 m
Base area = 40 m^2
The height of the pyramid is given as 20 m.
Substituting these values into the formula for the volume of a pyramid, we get:
Volume = (1/3) x base area x height
Volume = (1/3) x 40 m^2 x 20 m
Volume = 266.7 m^3 (rounded to the nearest tenth)