Finding the surface area of a triangular prism is done in the same manner as a rectangular prism.

If we unfold the prism above into a net and mark the dimensions, we get this:

You can find the surface area by adding up the individual areas within the net.
SA = (\( \mathsf{\frac{1}{2}} \))(6)(8) + (\( \mathsf{\frac{1}{2}} \))(6)(8) + (17)(8) + (17)(10) + (17)(10)
SA = 24 + 24 + 136 + 170 + 170
SA = 524 cm2