The formula for calculating the surface area of a triangular prism is:
SA = (perimeter of triangle base) x (height of the prism) + (2 x area of triangle base)
So, if you know the perimeter and height of the triangular base, as well as the area of the base, you can calculate the surface area of the prism by substituting these values into the formula.
For example, if the base has a perimeter of 20 cm and height of 8 cm, and the area of the base is 24 cm², then the surface area of the triangular prism would be:
SA = (20 cm) x (8 cm) + (2 x 24 cm²)
SA = 160 cm² + 48 cm²
SA = 208 cm²
Therefore, the surface area of the triangular prism in this example is 208 cm².