Surface Area of Triangular Prisms Quick Check
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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)
Responses
822 square meters
822 square meters
768 square meters
768 square meters
790 square meters
790 square meters
779 square meters
779 square meters
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choose from the closest option
To find the surface area of the triangular prism, we need to calculate the area of each face and then add them all together.
1. Front triangular face:
Area = (1/2) * base * height
Area = (1/2) * 16 * 15
Area = 120 square meters
2. Back triangular face (same as front): 120 square meters
3. Two rectangular faces:
Area = length * width
Area = 17 * 11 = 187 square meters (per face)
Total for both rectangular faces = 187 * 2 = 374 square meters
Now, add all the areas together:
120 + 120 + 374 = 614 square meters
Therefore, the surface area of the net of the triangular prism is 614 square meters.
None of the provided responses match the correct calculation.
it is 790
In that case, the closest option to the correct calculation would be:
779 square meters
Although this is not the exact surface area calculated, it is the closest option provided.