To solve for the surface area of a triangular prism, we need to know the dimensions of the prism. The surface area \( SA \) of a triangular prism can be calculated using the formula:
\[ SA = bh + l(s_1 + s_2 + s_3) \]
where:
- \( b \) = base of the triangular face
- \( h \) = height of the triangular face
- \( l \) = length of the prism
- \( s_1, s_2, s_3 \) = lengths of the sides of the triangular face
Since we don't have specific values for these dimensions, I'll describe how to calculate the surface area:
- Calculate the area of the triangular base using the formula: \[ \text{Area}_{\text{triangle}} = \frac{1}{2} \times b \times h \]
- Calculate the area of the three rectangular sides:
- Each rectangular side's area can be calculated by: \[ \text{Area}_{\text{rectangle}} = \text{side length} \times l \]
- Add the area of the triangle and the areas of the three rectangles.
Once the values are plugged in, you can find the total surface area.
However, since you provided options, if you have information about the dimensions, I can help check which of the options corresponds to the correct calculation. Please provide the dimensions or indicate the chosen option if this question is part of a multiple-choice problem without requiring a detailed calculation.