Answer:
The volume of this triangular prism is 243 cubic ft
Step-by-step explanation:
A triangular prism whose length is [tex]l[/tex] units and whose triangular cross- section has base b unit and height h units.
Then, the Volume of the triangular prism(V) in cubic unit is given by:
[tex]V=\frac{1}{2}bhl[/tex]
In the given figure, we have the length [tex]l[/tex][tex]=9 ft[/tex] , base(b)= 6 ft
and height (h) = 9 ft
then, volume of triangular prism for the given figure is,
[tex]V=\frac{1}{2}bhl[/tex]
or [tex]V=\frac{1}{2}\cdot 6 \cdot 9 \cdot 9[/tex] cubic ft
Simplify:
[tex]V=3\cdot 9\cdot 9 ft^3[/tex][tex]=243 ft^3[/tex]
Therefore, the volume of this triangular prism is 243 cubic ft.
