Final answer:
To find the volume of a triangular prism, you need to multiply the area of the triangular base by the height of the prism. Given the dimensions provided, the volume of the triangular prism is 35.28 cubic meters.
Step-by-step explanation:
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.
The area of a triangle is given by the formula: Area = (1/2) x base x height. Given that the base length is 4.2 meters and the height of the triangle is 2.8 meters, we can calculate the area of the triangular base.
Using the formula for volume of a prism, which is: Volume = Area of base x height, we can substitute the values and find the volume.
Therefore, the volume of the triangular prism is Volume = (Area of base) x height = (1/2 x base x height) x height = 0.5 x 4.2 x 2.8 x 6 = 35.28 cubic meters.