As discussed previously, there are two main approaches to finding the surface area of a triangular prism:
1. Separating the faces and calculating areas (works for all prisms):
Imagine the triangular prism unfolded like a net. You'll see two triangular bases and three rectangular faces.
Formula:
Total Surface Area = 2 * Area of Triangle Base + Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3
2. Using a single formula (applicable for right triangular prisms only):

If the triangular prism is a right prism (where the lateral faces are perpendicular to the base), you can use a single formula to find the surface area:
Formula:
Total Surface Area = B + L * p

Where:

B is the area of one triangular base (calculated as mentioned earlier).

L is the perimeter of the triangular base (sum of the three sides of the triangle).

p is the height of the prism (the distance between the two triangular bases).
Important Note:

The second formula with L (perimeter) is only applicable for right triangular prisms where the lateral faces are perpendicular to the base. For oblique prisms (where the lateral faces are slanted), you'll need to use the first method (separating faces) to calculate the areas of the rectangular faces.
Additional points to consider:

If the triangular base is equilateral or isosceles, you might be able to calculate the height using the triangle's side lengths and basic trigonometry.
By understanding these methods and considering the specific type of triangular prism (right or oblique) you're dealing with, you can effectively calculate its surface area.