What is the surface area of the net of the triangular prism
10cm
5cm
4cm
5cm
5cm
To find the surface area of the net of the triangular prism, we first need to find the area of each of the faces.
1. Base (triangle):
Area of a triangle = (1/2) * base * height
Area = (1/2) * 5cm * 4cm = 10cm^2
2. Front face:
Area = base * height = 5cm * 10cm = 50cm^2
3. Back face:
Area = base * height = 5cm * 10cm = 50cm^2
4. Side faces (2):
Area = base * height = 10cm * 5cm = 50cm^2 (each side)
Now, add up the areas of all the faces to find the total surface area of the net:
10cm^2 + 50cm^2 + 50cm^2 + 50cm^2 + 50cm^2 = 210cm^2
Therefore, the surface area of the net of the triangular prism is 210 square centimeters.