The net of a triangular prism is shown. What is the surface area of the triangular prism?
(1 point)
Responses
5,684 square units
5,684 square units
5,668 square units
5,668 square units
5,768 square units
5,768 square units
5,936 square units
5,936 square units
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The surface area of a triangular prism can be calculated by finding the areas of all the individual faces and adding them together.
In this case, the triangular prism has 2 triangular bases and 3 rectangular faces.
The formula for the surface area of a triangular prism is:
2 * area of the base triangles + perimeter of the base triangles * height
Using the given net, we can calculate the surface area as follows:
Base triangle area = 1/2 * base * height = 1/2(13)(5) = 32.5
Rectangular face area = base * height = 13 * 10 = 130
Total surface area = 2(32.5) + 3(130) = 65 + 390 = 455 square units
Therefore, the surface area of the triangular prism is 455 square units.
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