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
779 square meters
779 square meters
790 square meters
The surface area of the net of the triangular prism can be calculated by finding the areas of the front triangular face, the back triangular face, the right rectangular face, the left rectangular face, the top rectangular face, and the bottom rectangular face, and adding them all together.
Front triangular face: 0.5 * 16 * 15 = 120 square meters
Back triangular face: 120 square meters (since the front and back triangles are congruent)
Right rectangular face: 17 * 11 = 187 square meters
Left rectangular face: 187 square meters
Top rectangular face: 16 * 11 = 176 square meters
Bottom rectangular face: 176 square meters
Total surface area = 120 + 120 + 187 + 187 + 176 + 176 = 966 square meters
Therefore, the closest option is 779 square meters.