Answer:
![333.09\text{ m}^2](https://img.qammunity.org/2023/formulas/mathematics/college/a42h7yefywyxnmd5sa982vfprb4b17vm8i.png)
Step-by-step explanation:
Here, we want to calculate the surface area of the given triangular prism
To calculate this, we use the following formula:
![\begin{gathered} SA\text{ = bh +pl} \\ p\text{ = b + h + c} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/vqgrj2l794bz0lg81633txka6ogi3gnz8g.png)
We have the sides represented as follows:
b = 5 m
h = 3 m
l = 23 m
c = 5.83 m
p = 5 + 3 + 5.83 = 13.83 m
Substituting the values, we have:
![SA\text{ = 5\lparen3\rparen+ 13.83\lparen23\rparen= 333.09 m}^2](https://img.qammunity.org/2023/formulas/mathematics/college/b3k896sf397huzum4ciyjnjky71jpd0ee7.png)