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
779 square meters
779 square meters
822 square meters
822 square meters
768 square meters
To find the surface area of the net of the triangular prism, we need to find the area of all the individual shapes that make up the net and then add them together.
1. The area of the front triangular face:
= 1/2 * base * height
= 1/2 * 16 * 15
= 120 square meters
2. The area of the right rectangular face:
= width * height
= 11 * 15
= 165 square meters
3. The area of the two left and right rectangular faces:
= 2 * length * height
= 2 * 17 * 15
= 510 square meters
Now add up all the areas:
120 (front triangle) + 165 (right rectangle) + 510 (two left and right rectangles)
= 795 square meters
Therefore, the surface area of the net of the triangular prism is 795 square meters.