To find the surface area of the triangular prism, we need to calculate the areas of all the faces and then add them together.
Front triangular face:
Area = 1/2 * base * height
Area = 1/2 * 10 * 8 = 40 square centimeters
Back triangular face (which is the same size as the front face):
Area = 40 square centimeters
Left rectangular face:
Area = length * width
Area = 10 * 6 = 60 square centimeters
Right rectangular face (which is the same size as the left face):
Area = 60 square centimeters
Top rectangular face:
Area = 10 * 6 = 60 square centimeters
Bottom rectangular face (which is the same size as the top face):
Area = 60 square centimeters
Now, add all the areas together:
40 + 40 + 60 + 60 + 60 + 60 = 320
The surface area of the triangular prism is 320 square centimeters.