To find the surface area of the net, we need to calculate the area of each individual triangle and then add them together.
The area of an equilateral triangle is calculated using the formula A = (sqrt(3)/4) * s^2, where s is the length of the side.
For the triangle in the middle:
A = (sqrt(3)/4) * 16.2^2 = 40.51 m^2
For the triangles on the sides:
A = (sqrt(3)/4) * 14.5^2 = 29.91 m^2 (x2 because there are two sides) = 59.82 m^2
Total surface area = 40.51 m^2 + 59.82 m^2 = 100.33 m^2
Therefore, the surface area of the net is 100.33 m^2.
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 point)
28.6875
m2
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