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
822 square meters
822 square meters
790 square meters
790 square meters
779 square meters
The surface area of the net of the triangular prism can be calculated by finding the area of each face and adding them together.
The front triangular face area = 0.5 * base * height = 0.5 * 16 * 15 = 120 square meters
The rectangular face area = width * height = 11 * 15 = 165 square meters
There are two triangular faces and three rectangular faces in the net.
Total surface area = 2(front triangular face) + 3(rectangular face)
Total surface area = 2(120) + 3(165)
Total surface area = 240 + 495
Total surface area = 735 square meters
Therefore, the closest option is 779 square meters.