252 cm squared
To find the surface area of the triangular prism, we first need to calculate the area of the three parallelograms and two triangles that make up the net.
The area of each parallelogram is base x height:
- Each parallelogram has a width of 4 cm and a length of 12 cm, so the area is 4 x 12 = 48 cm squared. Since there are three parallelograms, the total area is 48 x 3 = 144 cm squared.
The area of each triangle is 1/2 x base x height:
- Each triangle has a base of 12 cm and a height of 9 cm, so the area is 1/2 x 12 x 9 = 54 cm squared. Since there are two triangles, the total area is 54 x 2 = 108 cm squared.
Adding the areas together, we get:
144 cm squared (parallelograms) + 108 cm squared (triangles) = 252 cm squared.
Therefore, the surface area of the triangular prism is 252 cm squared.