Use the image to answer the question.

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.

Answer 1

To find the surface area of the net, we need to find the area of each individual triangle that makes up the net and then add them together.

First, we find the area of the equilateral triangle in the middle:
A = (1/2) x base x height
A = (1/2) x 16.2 x 14
A = 113.4 square meters

Next, we find the area of the two triangles on the sides:
A = (1/2) x base x height
A = (1/2) x 16.2 x 14.5
A = 117.45 square meters (for each triangle)

Now, we add the areas of all three triangles together:
Total surface area = 113.4 + 117.45 + 117.45
Total surface area = 348.3 square meters

Therefore, the surface area of the net is 348.3 square meters.

Answer 2

What’s the answer but not in decimal

Answer 3

The surface area of the net is 348 square meters.