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
768 square meters
768 square meters
779 square meters
779 square meters
822 square meters
822 square meters
790 square meters
790 square meters
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To find the surface area of the net of the triangular prism, we need to calculate the surface area of each individual face and then add them together.
The surface area of the front triangular face:
Area = 0.5 * base * height
Area = 0.5 * 16m * 15m
Area = 120 square meters
The surface area of the back triangular face is the same as the front, so we multiply by 2 to account for both faces: 120 * 2 = 240 square meters
The surface area of the rectangular face:
Area = length * width
Area = 17m * 11m
Area = 187 square meters
Now, add up the surface areas of all the faces:
240 square meters (front and back triangular faces) + 187 square meters (rectangular face) = 427 square meters
Therefore, the surface area of the net of the triangular prism is 427 square meters. None of the provided options match this calculation.