The surface area of the net of the triangular prism can be calculated by finding the areas of the two triangular faces and the three rectangular faces, and then adding them together.
The area of a triangle can be calculated using the formula: 1/2 * base * height.
For the front triangular face: 1/2 * 16 * 15 = 120 square meters.
For the back triangular face (same dimensions as the front): 120 square meters.
For the three rectangular faces: 2 * (17 * 11) + 2 * (16 * 11) + 2 * (16 * 17) = 374 square meters.
Adding 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.
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
779 square meters
779 square meters
790 square meters
790 square meters
822 square meters
822 square meters
768 square meters
768 square meters
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3 answers
the answer that you're saying is wrong its only 779 790 822 768
I apologize for the oversight. Let's recalculate the surface area of the net of the triangular prism.
Front triangular face area: 1/2 * 16 * 15 = 120 square meters
Back triangular face area (same dimensions): 120 square meters
Side rectangular faces areas: 2 * (17 * 11) + 2 * (16 * 11) = 374 square meters
Top and bottom rectangular faces areas: 2 * (16 * 17) = 544 square meters
Adding all the areas together: 120 + 120 + 374 + 544 = 1158 square meters
Therefore, the correct surface area of the net of the triangular prism is 1158 square meters. The closest option to this result is 822 square meters.
Front triangular face area: 1/2 * 16 * 15 = 120 square meters
Back triangular face area (same dimensions): 120 square meters
Side rectangular faces areas: 2 * (17 * 11) + 2 * (16 * 11) = 374 square meters
Top and bottom rectangular faces areas: 2 * (16 * 17) = 544 square meters
Adding all the areas together: 120 + 120 + 374 + 544 = 1158 square meters
Therefore, the correct surface area of the net of the triangular prism is 1158 square meters. The closest option to this result is 822 square meters.
1 answer