Answer:
V = 306.9 m³
Explanation:
The formula of a volume of a prism:
![V=BH](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5cp42nuplbh6iz7ybq2kknco2ra5umr2p2.png)
B - base area
H - height
In the base we have the right triangle.
The formula of an area of a righ triangle
![A=(ab)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/r6jkynp8xdeagfck0ln5bsp3bm14f0z6ht.png)
a, b - legs
We have a = 6.2m and b = 11m. Substitute:
![B=((6.2)(11))/(2)=34.1\ m^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b30xv3zq9qbelxv5iz4d9d92a4z95giedy.png)
The height H = 9 m.
Substitute to the formula of a volume:
![V=(34.1)(9)=306.9\ m^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jcxrmntk0vis6ia1eryf9wnnv4n318kp2u.png)