Answer: Option C.
Explanation:
The surface area of the right triangular will be the sum of all its faces.
You can observe in the figure that the faces of the right triangular prism are: Two equal right triangles and three different rectangles.
The formula for calculate the area of a triangle is:
![A=(bh)/(2)](https://img.qammunity.org/2020/formulas/mathematics/high-school/iae4eezndimirqsjmivmaufrufy66wu03f.png)
Where "b" is the base and "h" is the height.
The formula for calculate the area of a rectangle is:
![A=lw](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6ha4hehcoeuii45f92n9qa4p9h4g0r5n0e.png)
Where "l" is the length and "w" is the width.
Then, the surface area of the right triangular prism is:
![SA=(ba)/(2)+(ba)/(2)+dc+db+da\\\\SA=2((ba)/(2))+d(c+b+a)\\\\SA=2((4cm*3cm)/(y))+8cm(5cm+4cm+3cm)\\\\SA=108cm^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/14egdgivbz64bj3y37bd3j6h89q1ticwu1.png)