What is the surface area of the net of the triangular prism? 10cm 5cm4cm 5cm 5cm
The surface area of the net of the triangular prism would be the sum of the areas of all the individual faces.
First, let's find the areas of the three rectangular faces:
1. Area of the rectangle with dimensions 10cm x 5cm = 10cm x 5cm = 50cm^2
2. Area of the rectangle with dimensions 4cm x 5cm = 4cm x 5cm = 20cm^2
3. Area of the rectangle with dimensions 5cm x 5cm = 5cm x 5cm = 25cm^2
Now, let's find the areas of the two triangular faces:
1. Area of the triangle with base 5cm and height 5cm = (1/2) x 5cm x 5cm = 12.5cm^2
2. Area of the triangle with base 10cm and height 5cm = (1/2) x 10cm x 5cm = 25cm^2
Finally, sum up all the areas:
Total surface area = 50cm^2 + 20cm^2 + 25cm^2 + 12.5cm^2 + 25cm^2 = 132.5cm^2
Therefore, the surface area of the net of the triangular prism is 132.5cm^2.