To find the surface area of the net, we first need to find the height of the equilateral triangle.
For an equilateral triangle, the height can be found using the formula h = √(3)/2 * s, where s is the length of one side of the equilateral triangle.
Given that the side length of the equilateral triangle is 14.0 m, we can calculate the height as:
h = √(3)/2 * 14.0
h = 12.1 m
Now we can find the surface area of one of the triangular faces of the net using the formula for the area of a triangle: A = (1/2) * base * height.
Since the base of the triangle is 14.0 m and the height is 12.1 m, we can calculate the area of one triangle face as:
A = (1/2) * 14.0 * 12.1
A ≈ 85.4 m^2
Since there are 3 identical triangular faces in the net, the total surface area of the net is:
Total Surface Area = 3 * 85.4
Total Surface Area ≈ 256.2 m^2
Therefore, the surface area of the net given an equilateral triangle as the base is approximately 256.2 m^2.
14.0 m
16.2 m
14.5 m
Find the surface area of the net given an equilateral triangle as the base.
__ m2
1 answer
1 answer