To find the surface area of the triangular prism, we need to find the areas of all the visible faces and then add them together.
1. The area of the front triangular face = 1/2 * base * height
= 1/2 * 10 cm * 8 cm
= 40 cm²
2. The area of the left rectangular face = length * width
= 10 cm * 6 cm
= 60 cm²
3. The area of the right rectangular face (same as the left face) = 60 cm²
4. The area of the bottom rectangular face (same width as the left face) = length * width
= 10 cm * 6 cm
= 60 cm²
Now, add up all the areas:
40 cm² + 60 cm² + 60 cm² + 60 cm² = 220 cm²
Therefore, the surface area of the triangular prism is 220 cm².