Answer:
![\text{C. }156\:\mathrm{cm^3}](https://img.qammunity.org/2022/formulas/mathematics/college/t3jb7grjzqz1d34flt7c26tuvuzeccv8zz.png)
Explanation:
The surface area of the triangular prism consists of three rectangles and two triangles.
Rectangle One - 5 x 12 = 60 cm^2
Rectangle Two - 4 x 12 = 48 cm^2
Rectangle Three - 3 x 12 = 36 cm^2
Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2
Thus, the total surface area of the solid is
![60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}](https://img.qammunity.org/2022/formulas/mathematics/college/khid38a1c1bw0pbkreqtb0m4v5xas1hdwq.png)