Question

3 m
2.6 m
3 m
3 m
8 m
What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.
(1 point

Answer 1

To calculate the surface area of the triangular prism, we need to find the area of each of the individual faces and then add them all together.

First, let's find the area of the triangular faces:
- For the triangle on the left: base = 3m, height = 2.6m
Area = 0.5 * base * height = 0.5 * 3m * 2.6m = 3.9 square meters
- For the triangle on the right: base = 3m, height = 3m
Area = 0.5 * base * height = 0.5 * 3m * 3m = 4.5 square meters

Next, let's find the area of the rectangular faces:
- For the rectangle at the top: length = 8m, width = 3m
Area = length * width = 8m * 3m = 24 square meters
- For the rectangle at the bottom: length = 8m, width = 3m
Area = length * width = 8m * 3m = 24 square meters

Now, let's add up all the areas:
3.9 + 4.5 + 24 + 24 = 56.4 square meters

Therefore, the surface area of the triangular prism shown as a net is 56.4 square meters.