Question

Use the image to answer the question.

An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The sides and edges that are not visible are indicated by dashed lines. Parts are labeled with measurements. The left side and right side of the triangle measure 17 meters. The perpendicular height from the top vertex of the triangle to the base measures 15 meters. The base of the triangle measures 16 meters. The width of the rectangular face measures 11 meters.

What is the surface area of the net of the triangular prism?

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of the net of the triangular prism, we need to find the areas of all the faces and add them together.

First, we need to find the area of the triangular face:
Area of a triangle = 1/2 * base * height
Area of the triangle = 1/2 * 16m * 15m = 120 square meters

Next, we need to find the area of the rectangular face:
Area of a rectangle = length * width
Area of the rectangle = 17m * 11m = 187 square meters

Now, we need to find the areas of the three remaining faces. Since they are all rectangles, we can find the area of each face by multiplying the length by the width:
1. The top face = 16m * 17m = 272 square meters
2. The bottom face = 16m * 17m = 272 square meters
3. The side face = 15m * 11m = 165 square meters

Now, add up all the areas:
120 (triangle) + 187 (rectangle) + 272 (top face) + 272 (bottom face) + 165 (side face) = 1016 square meters

Therefore, the surface area of the net of the triangular prism is 1016 square meters.