What is the surface area of the triangular prism? Round the answer to the nearest tenth. 2.6 m 3 m 3 m 3 m 8 m

Answer 1

To find the surface area of a triangular prism, you need to find the areas of all its faces and add them up.

The formula for the surface area of a triangular prism is:
Surface Area = 2*(base area) + (side perimeter)*(height)

First, let's find the base area. Since the base is a triangle, you can find its area using the formula for the area of a triangle:
Base Area = 0.5*(base length)*(height) = 0.5*3*2.6 = 3.9 square meters

Next, let's find the side perimeter. Since it is a triangle, the sides are all the same length (3 meters each), so the perimeter is 3 + 3 + 3 = 9 meters.

Now, let's find the surface area of the triangular prism:
Surface Area = 2*(3.9) + 9*3 = 7.8 + 27 = 34.8 square meters

Therefore, the surface area of the triangular prism is approximately 34.8 square meters when rounded to the nearest tenth.