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
779 square meters
779 square meters
790 square meters
790 square meters
822 square meters
822 square meters
779 square meters
To calculate the surface area of the net of the triangular prism, we must find the area of each face and add them all together.
1. Front triangular face: (1/2) x base x height = (1/2) x 16 x 15 = 120 square meters
2. Right rectangular face: width x height = 11 x 15 = 165 square meters
3. Left rectangular face: width x height = 11 x 15 = 165 square meters
4. Top rectangular face: base x width = 16 x 11 = 176 square meters
5. Bottom rectangular face: base x width = 16 x 11 = 176 square meters
Total surface area = 120 + 165 + 165 + 176 + 176 = 802 square meters
Therefore, the surface area of the net of the triangular prism is 802 square meters.