Question

Use the image to answer the question.

The image appears to be a diagram or plot showing a rectangle shape with dimensions labeled in meters. The sides are marked as follows: 3m, 2.6m, 13m, 1, 3m, and 8m.

What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.

(1 point)
m2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the triangular prism, we need to find the area of all the individual shapes that make up the net.

The shapes that form the net of the triangular prism are:
- Two rectangles with dimensions 3m x 2.6m and 13m x 1.3m
- Two triangles with base lengths 3m and 8m and height 2.6m

To find the surface area of the triangular prism, we need to find the area of each of these shapes and then add them together.

Area of rectangle 1 = 3m x 2.6m = 7.8m²
Area of rectangle 2 = 13m x 1.3m = 16.9m²
Area of triangle 1 = 0.5 x 3m x 2.6m = 3.9m²
Area of triangle 2 = 0.5 x 8m x 2.6m = 10.4m²

Total surface area = 7.8m² + 16.9m² + 3.9m² + 10.4m² = 39m²

Therefore, the surface area of the triangular prism shown as a net is 39 square meters.