The total surface area of the triangular prism can be calculated by finding the surface area of each individual shape and then adding them together.
Surface area of the two triangles:
Area = 1/2 * base * height
Area = 1/2 * 9 * 7.8 = 35.1 cm^2 (for one triangle)
Total area for both triangles = 2 * 35.1 = 70.2 cm^2
Surface area of the two rectangles:
Area = length * width
Area = 17 * 9 = 153 cm^2 (for one rectangle)
Total area for both rectangles = 2 * 153 = 306 cm^2
Total surface area = Area of two triangles + Area of two rectangles
Total surface area = 70.2 + 306 = 376.2 cm^2
Therefore, the total surface area represented by this net of a triangular prism is 376.2 cm^2.