Answer:
[tex]V=288\ m^3[/tex]
Step-by-step explanation:
we know that
The figure show a triangular prism
The volume of the triangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular face
L is the length of the prism
Find the area of the triangular base B
[tex]B=\frac{1}{2}(b)(h)[/tex]
substitute the given values
[tex]B=\frac{1}{2}(8)(6)=24\ m^2[/tex]
we have
[tex]L=12\ m[/tex]
Find the volume
[tex]V=BL[/tex]
substitute values
[tex]V=(24)(12)=288\ m^3[/tex]
