what is the surface area of the net of the triangular prism?
10cm, 5cm, 4cm, 5cm by the line, 5cm
To find the surface area of the net of a triangular prism, we need to find the area of each of the three faces and then add them all together.
1. The base of the triangular prism is a triangle with base 10 cm and height 5 cm. The area of this triangle is:
Area = 1/2 * base * height
Area = 1/2 * 10 cm * 5 cm
Area = 25 cm²
2. The other two faces of the triangular prism are rectangles. Each rectangle has a length of 5 cm and a width of 4 cm. The area of each rectangle is:
Area = length * width
Area = 5 cm * 4 cm
Area = 20 cm²
Now, we need to add the areas of the three faces together to get the total surface area of the net of the triangular prism:
Total Surface Area = 2 * (area of triangle base) + (area of rectangle face)
Total Surface Area = 2 * 25 cm² + 2 * 20 cm²
Total Surface Area = 50 cm² + 40 cm²
Total Surface Area = 90 cm²
Therefore, the surface area of the net of the triangular prism is 90 cm².