Surface Area of Triangular Prisms Quick Check

Question

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Question
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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

822 square meters
822 square meters

768 square meters
768 square meters

779 square meters
779 square meters

790 square meters
790 square meters
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Answer 1

To find the surface area of the net of the triangular prism, we first need to find the areas of each individual face.

1. The area of the triangular face is (1/2) * base * height
= (1/2) * 16 * 15
= 120 square meters

2. The area of the rectangular face is length * width
= 17 * 11
= 187 square meters

Now, add the areas of the two faces to find the total surface area of the net:
120 + 187 = 307 square meters

Therefore, the surface area of the net of the triangular prism is 307 square meters. None of the provided answer choices match this, so perhaps there was an error in the measurements given in the question.