We must know that the volume of a triangular prism is the area of the base multiplied by the height.
Let's first identify our values:
7m = height of prism
6m = base of triangle
8m = height of triangle
First, we must know the formula to calculate the area of a triangle.
Area = base × height ÷ 2
6 is the base of the triangle and 8 is the height. 6 × 8 = 48
48 ÷ 2 = 24
Finally, we have to multiply the area of the triangle which is 24 by the height of the triangular prism which is 7 and we will get a product of 168
![168units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ntuur8sfkz5szrdor35qfp7hblbwptgnmk.png)
Therefore, the volume of the triangular prism is 168
![168units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ntuur8sfkz5szrdor35qfp7hblbwptgnmk.png)