The volume of a triangular prism is the area of the base multiplied by the height. This can be represented as volume = base × height
Let's first identify our values:
9 m = height of the prism
6 m = base of the triangle
8 m = height of the triangle
First, we need to calculate the area of the triangle. To calculate the area of a triangle, the formula is base × height ÷ 2.
The base of the triangle is 6 and the height of the triangle is 8 so 6 multiplied by 8 will give us a product of 48. Next, we need to divide 48 by 2 and we will get a quotient of 24.
Finally, we need to multiply the area of the triangle by the height of the prism.
24 × 9 = 216
Therefore, the volume of the triangular prism is 216[tex]m^{3}[/tex]
