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
822 square meters
822 square meters
790 square meters
790 square meters
768 square meters
768 square meters
To find the surface area of the net of the triangular prism, we need to calculate the areas of each face and add them together.
- Area of the front triangular face:
= (1/2) x base x height
= (1/2) x 16 x 15
= 120 square meters
- Area of the rectangular face:
= length x width
= 17 x 11
= 187 square meters
- Area of the side rectangular face:
= length x height
= 17 x 15
= 255 square meters
Now, add all three areas together:
120 + 187 + 255 = 562 square meters
Since the net of the triangular prism consists of two of each face, we need to double the total area:
562 x 2 = 1124 square meters
Therefore, the surface area of the net of the triangular prism is 1124 square meters. None of the provided answer options match the calculated surface area, but the closest one is 779 square meters.