To find the volume of a right triangular prism, we need to multiply the area of the triangular base by the height of the prism.
The triangular base has a base length of 4 m and a height of 10 m. The formula for the area of a triangle is (1/2) * base * height. Plugging in the values, we get:
Area of triangular base = (1/2) * 4 m * 10 m
= 20 m²
The height of the prism is given as 14 m.
Now, we can calculate the volume by multiplying the area of the base by the height:
Volume = Area of triangular base * Height
= 20 m² * 14 m
= 280 m³
Therefore, the volume of the right triangular prism is 280 cubic meters.