Volume of a triangular prism:

Where:
b = 10m
H = 4m
h = ?
To find h, we use the formula:
![h\text{ = }(2)/(a)\sqrt[]{S(S\text{ - a)(S - b)(S - c)}}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7kbba3tu9g7x0rskbtvobb7qq9ttxezhml.png)
Where:
a, b, and c = the lengths of the sides of the triangle.
S is the semiperimeter, which is equal to S = (a + b + c)/2
So:
![\begin{gathered} h\text{ =}(2)/(10)\sqrt[]{12(12-10)(12-6)(12-8)} \\ h\text{ = }4.8\text{ m} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/c4kbg76q7niknydmfrv4q0yaqqz02jp2wv.png)
Now with h, we can use the firs formula to find volume, as follows:

V = 96 m³