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
790 square meters
790 square meters
768 square meters
768 square meters
822 square meters
822 square meters
779 square meters
779 square meters
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The surface area of the net of the triangular prism can be calculated by finding the area of each face and adding them together.
1. Area of triangular front face = 0.5 * base * height = 0.5 * 16 * 15 = 120 square meters
2. Area of rectangular face = length * width = 17 * 11 = 187 square meters
3. Area of right triangle = 0.5 * base * height = 0.5 * 17 * 15 = 127.5 square meters
Adding these together, the surface area of the net of the triangular prism is:
120 (front face) + 187 (rectangular face) + 127.5 (right face) = 434.5 square meters
Therefore, the closest option is 468 square meters, which is not listed.