The dimensions of the rectangles are:
12 cm by 10 cm
12 cm by 6 cm
10 cm by 6 cm
The areas of these three rectangles are:
12 cm × 10 cm = 120 cm²
12 cm × 6 cm = 72 cm²
10 cm × 6 cm = 60 cm²
Adding these areas together, we get:
120 cm² + 72 cm² + 60 cm² = 252 cm²
Therefore, the lateral surface area of the triangular prism using the given net is 252 cm².