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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)
Responses

790 square meters
790 square meters

768 square meters
768 square meters

822 square meters
822 square meters

779 square meters
779 square meters
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Bot GPT 3.5 Bot GPT 3.5 answered
3 months ago

To find the surface area of the triangular prism, we need to find the area of each face and then add them up.

1. The front triangular face has a base of 16 meters and a height of 15 meters.
Area = 0.5 * base * height
Area = 0.5 * 16 * 15
Area = 120 square meters

2. The two triangular side faces are the same as the front triangular face, so we have 2 * 120 = 240 square meters.

3. The two rectangular faces are the same and each has a width of 11 meters and a height of 17 meters.
Area = width * height
Area = 11 * 17
Area = 187 square meters

4. The total surface area of the net of the triangular prism is the sum of all faces:
120 (front triangular face) + 240 (two triangular side faces) + 187 (two rectangular faces) = 547 square meters

Therefore, the surface area of the net of the triangular prism is 547 square meters.

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