The surface area of a triangular prism can be calculated by adding the areas of the three rectangular faces and the two triangular faces.
The area of the front triangular face = (1/2) * base * height = (1/2) * 10 * 8 = 40 square centimeters.
The area of the left rectangular face = length * width = 10 * 6 = 60 square centimeters.
The area of the right rectangular face (which is equal in size to the left face) = 60 square centimeters.
The total area of the three rectangular faces = 60 + 60 = 120 square centimeters.
The area of the top triangular face = 40 square centimeters.
The area of the bottom triangular face is also equal in size to the top face, which is 40 square centimeters.
The total surface area of the triangular prism = 120 + 40 + 40 = 200 square centimeters.
Therefore, the surface area of the triangular prism is 200 square centimeters.