To find the surface area of the net of a triangular prism, we need to determine the area of each of the surfaces and then add them together.
The net of a triangular prism consists of three rectangular faces and two triangular faces.
1. The two triangular faces have the same area and can be calculated using the formula for the area of a triangle: 0.5 * base * height. In this case, the base is 5 cm and the height is 4 cm.
Area of one triangular face = 0.5 * 5 * 4 = 10 cm²
Therefore, the total area of the two triangular faces is 2 * 10 = 20 cm².
2. The three rectangular faces have the same area and can be calculated using the formula for the area of a rectangle: length * width. In this case, the length is 10 cm and the width is either 5 cm or 4 cm.
Area of one rectangular face = 10 * 5 = 50 cm²
Therefore, the total area of the three rectangular faces is 3 * 50 = 150 cm².
Finally, add the areas of the two triangular faces and three rectangular faces to find the total surface area of the net:
Total surface area = 20 + 150 = 170 cm²
Therefore, the surface area of the net of a triangular prism with side lengths of 5 cm, 4 cm, and 10 cm is 170 square centimeters.
What is the surface area of the net of a triangular prism when one part is 5 cm one part is 4 cm and one part is 10 cm in square centimeters
1 answer
1 answer