To calculate the surface area of a triangular prism, you need to know the area of the triangular base and the perimeter of the triangular base, as well as the height (length) of the prism. The formula for the surface area \( S.A. \) of a triangular prism is:
\[ S.A. = B + L \]
Where:
- \( B \) is the area of the triangular base.
- \( L \) is the lateral surface area of the prism, calculated as the perimeter of the triangular base times the height of the prism.
Assuming we don't have the specific dimensions of the triangular prism from your question, we cannot calculate the exact surface area. However, based on the given options, it looks like the possible surface areas are:
- 116 inches²
- 126 inches²
- 968 inches²
- 848 inches²
If you have the measurements for the triangular base (base, height of the triangle, and the length of the prism), you can plug those into the formula above to find the correct surface area. Without the details, I'd recommend checking the dimensions first to find out which one of the provided options matches.
If you provide the dimensions, I can help you calculate the exact surface area!