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
779 square meters
779 square meters
790 square meters
790 square meters
768 square meters
768 square meters
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page 15 of 15
To find the surface area of the net of the triangular prism, we need to find the area of all the faces and then add them together.
1. Front triangular face: (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters
2. Rear triangular face: Same as front triangular face = 120 square meters
3. Right rectangular face: length x width = 17 x 11 = 187 square meters
4. Left rectangular face: Same as right rectangular face = 187 square meters
5. Top rectangular face: base x width = 16 x 11 = 176 square meters
6. Bottom rectangular face: Same as top rectangular face = 176 square meters
Total surface area of the net = 120 + 120 + 187 + 187 + 176 + 176 = 966 square meters
Therefore, the surface area of the net of the triangular prism is 966 square meters.