Answer:
[tex]252m^3[/tex]
Step-by-step explanation:
A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:
[tex]V=A_{b}\times H[/tex]
We know that:
[tex]H=9m[/tex]
What is the area of its base? From the figure we can know this:
[tex]A_{b}=\frac{bh}{2} \\ \\ Where: \\ \\ b=14m \\ \\ h=4m \\ \\ A_{b}=\frac{14(4)}{2} \\ \\ A_{b}=\frac{56}{2}=28m[/tex]
Finally:
[tex]V=28\times 9 \\ \\ \boxed{V=252m^3}[/tex]
