Question

What is the surface area of the net of the triangular prism?
The angles are, 10 cm, 5 cm, 5 cm, 5 cm, and 4 cm.

Answer 1

To find the surface area of the net of the triangular prism, we first need to calculate the area of each of the individual faces.

The triangular faces:
1. The base triangle: Area = (1/2) × base × height = (1/2) × 10 cm × 5 cm = 25 cm²
2. The two side triangles: Area = (1/2) × base × height = (1/2) × 5 cm × 4 cm = 10 cm² each

The rectangular faces:
1. The front face: Area = length × width = 5 cm × 4 cm = 20 cm²
2. The back face: Area = length × width = 5 cm × 4 cm = 20 cm²

Now, we can find the total surface area of the net by summing up the areas of all faces:
Total surface area = 25 cm² (base) + 10 cm² (side 1) + 10 cm² (side 2) + 20 cm² (front) + 20 cm² (back)
Total surface area = 85 cm²

Therefore, the surface area of the net of the triangular prism is 85 cm².