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
790 square meters
790 square meters
768 square meters
768 square meters
822 square meters
To find the surface area of the net of the triangular prism, we need to find the areas of the front triangular face, the back triangular face, the two rectangular faces on the sides, and the two square bases.
Front triangular face area = (1/2) * base * height
Front triangular face area = (1/2) * 16m * 15m
Front triangular face area = 120 square meters
Back triangular face area = (1/2) * base * height
Back triangular face area = (1/2) * 16m * 15m
Back triangular face area = 120 square meters
Right and left rectangular faces area = height * width
Right and left rectangular faces area = 15m * 11m
Right and left rectangular faces area = 165 square meters
Two square bases area = base * base
Two square bases area = 16m * 16m
Two square bases area = 256 square meters
Total surface area = 2 * front triangular face area + 2 * right and left rectangular faces area + 2 * square bases area
Total surface area = 2 * 120 + 2 * 165 + 2 * 256
Total surface area = 240 + 330 + 512
Total surface area = 1082 square meters
Therefore, the surface area of the net of the triangular prism is 1082 square meters.