Use the image to answer the question. What is the surface area of the net of the triangular prism? (1 point) square centimeters
mesurents: 10cm 5cm 4cm 5cm 5cm
To find the surface area of the net of the triangular prism, we calculate the area of each face individually and then add them up.
1. Two triangular faces:
Area of one triangle = 1/2 * base * height
Area = 1/2 * 5cm * 4cm = 10 cm² (each triangle)
Total area for both triangles = 2 * 10 cm² = 20 cm²
2. Three rectangular faces:
Area of one rectangle = length * width
Areas = 10cm * 5cm + 10cm * 5cm + 5cm * 5cm = 50 cm² + 50 cm² + 25 cm² = 125 cm² (total for all three rectangles)
Total surface area = Sum of all face areas
Total surface area = 20 cm² (triangles) + 125 cm² (rectangles)
Total surface area = 145 cm²
Therefore, the surface area of the net of the triangular prism is 145 square centimeters.