To find the surface area of the net, we need to find the area of each of the triangles and add them together.
1. Area of the equilateral triangle in the middle:
Since the base of the equilateral triangle is 16.2 meters, and the height is 14.0 meters:
Area = (1/2) * base * height
Area = (1/2) * 16.2 * 14.0
Area = 113.4 square meters
2. Area of the two right triangles on the sides:
Since the height of these triangles is 14.5 meters, and the base is half that of the equilateral triangle:
Area = (1/2) * base * height
Area = (1/2) * (16.2 / 2) * 14.5
Area = 58.29 square meters (for each triangle)
3. Total surface area:
Total Surface Area = Area of equilateral triangle + Area of both right triangles
Total Surface Area = 113.4 + 58.29 + 58.29
Total Surface Area = 229.98 square meters
Therefore, the surface area of the net is 229.98 square meters.
Use Nets for Triangular Pyramids Practice
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Question
Use the image to answer the question.
An illustration shows the net of a triangular prism. The illustration forms a shape where the small triangle is in the middle with each side being the base of three different triangles. The height of the triangle in the middle is 14.0 meters and the base is 16.2 meters. The height of the triangles at the side is 14.5 meters. There is a right angle symbol in the middle triangle and the triangle to the right.
Find the surface area of the net given an equilateral triangle as the base
1 answer