To find the surface area of the net of the triangular prism, we need to calculate the area of each individual shape and then add them together.
Surface area of the top rectangle:
Length x Width = 10 cm x 5 cm = 50 cm²
Surface area of the bottom rectangle:
10 cm x 5 cm = 50 cm²
Surface area of the left triangle:
(1/2) x Base x Height = (1/2) x 5 cm x 4 cm = 10 cm²
Surface area of the right triangle:
(1/2) x 5 cm x 4 cm = 10 cm²
Since we have three rectangles, we multiply their area by 3:
(50 cm² + 50 cm² + 10 cm² + 10 cm²) x 3 = 240 cm²
The surface area of the net of the triangular prism is 240 square centimeters.