To find the surface area of the net, we need to find the area of each of the shapes and then add them up.
1. Rectangle on the left:
Area = length x width = 4 cm x 3 cm = 12 cm²
2. Square in the middle:
Area = side x side = 3 cm x 3 cm = 9 cm²
3. Rectangle on the right:
Area = length x width = 5 cm x 3 cm = 15 cm²
4. Two right triangles:
Area = 1/2 x base x height = 1/2 x 3 cm x 4 cm = 6 cm² (for each triangle, so a total of 12 cm²)
Now, add up the areas of all the shapes:
12 cm² + 9 cm² + 15 cm² + 12 cm² = 48 cm²
Therefore, the surface area of the shown net for a triangular prism is 48 cm².