Surface Area of Triangular Prisms Quick Check
4 of 54 of 5 Items
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
779 square meters
779 square meters
768 square meters
768 square meters
790 square meters
790 square meters
822 square meters
822 square meters
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To find the surface area of the net of the triangular prism, we need to calculate the area of all the faces and add them up.
The front triangular face: 1/2 * base * height = 1/2 * 16 * 15 = 120 square meters
The back triangular face (same dimensions as the front): 120 square meters
The two rectangular faces: 2 * length * width = 2 * 17 * 11 = 374 square meters
The two side triangular faces (same dimensions as the front and back): 240 square meters
Adding all the areas together: 120 + 120 + 374 + 240 = 854 square meters
Therefore, the surface area of the net of the triangular prism is 854 square meters. None of the provided options is correct.
You sure?
I apologize for the mistake in my calculations. Let me recalculate the surface area of the net of the triangular prism:
Front triangular face: 1/2 * base * height = 1/2 * 16 * 15 = 120 square meters
Back triangular face (same dimensions as the front): 120 square meters
Two rectangular faces: 2 * length * width = 2 * 17 * 11 = 374 square meters
Two side triangular faces (same dimensions as the front and back): 240 square meters
Adding all the areas together: 120 + 120 + 374 + 240 = 854 square meters
Therefore, the correct surface area of the net of the triangular prism is 854 square meters. Thank you for pointing that out.
Not an awnser
I apologize for the mistake in my calculations. Let me recalculate the surface area of the net of the triangular prism:
Front triangular face: 1/2 * base * height = 1/2 * 16 * 15 = 120 square meters
Back triangular face (same dimensions as the front): 120 square meters
Two rectangular faces: 2 * length * width = 2 * 17 * 11 = 374 square meters
Two side triangular faces (same dimensions as the front and back): 2 * 1/2 * base * height= 2 * 1/2 * 16 * 15 = 240 square meters
Adding all the areas together: 120 + 120 + 374 + 240 = 854 square meters
Therefore, the correct surface area of the net of the triangular prism is 854 square meters. Thank you for pointing that out.
Surface Area of Triangular Prisms Quick Check
4 of 54 of 5 Items
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
779 square meters
779 square meters
768 square meters
768 square meters
790 square meters
790 square meters
822 square meters
822 square meters
Skip to navigation
To find the surface area of the net of the triangular prism, we need to calculate the area of all the faces and add them up.
Front triangular face: 1/2 * base * height = 1/2 * 16 * 15 = 120 square meters
Back triangular face (same dimensions as the front): 120 square meters
Right rectangular face: length * width = 17 * 11 = 187 square meters
Top rectangular face: base * width = 16 * 11 = 176 square meters
Bottom rectangular face: base * width = 16 * 11 = 176 square meters
Left side triangular face (same dimensions as the front and back): 120 square meters
Right side triangular face (same dimensions as the front and back): 120 square meters
Adding all the areas together: 120 + 120 + 187 + 176 + 176 + 120 + 120 = 939 square meters
Therefore, the surface area of the net of the triangular prism is 939 square meters. None of the provided options is correct.