Respuesta :

Answer:

[tex]333.09\text{ m}^2[/tex]

Explanation:

Here, we want to calculate the surface area of the given triangular prism

To calculate this, we use the following formula:

[tex]\begin{gathered} SA\text{ = bh +pl} \\ p\text{ = b + h + c} \end{gathered}[/tex]

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:

[tex]SA\text{ = 5\lparen3\rparen+ 13.83\lparen23\rparen= 333.09 m}^2[/tex]