Given:
A triangular prism with height 9 ft and triangular base.
The base of the triangle is 8 ft and the height of the triangle is 9 ft.
To find:
The volume of the triangular prism.
Solution:
Volume of the triangular prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the triangular prism.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base \times height[/tex]
The base area of triangular prism is:
[tex]B=\dfrac{1}{2}\times 8\times 9[/tex]
[tex]B=4\times 9[/tex]
[tex]B=36[/tex]
Now, the volume of the triangular prism is:
[tex]V=36\times 9[/tex]
[tex]V=324[/tex]
Therefore, the volume of the triangular prism is 324 cubic ft.
