To find the surface area of the net of the triangular prism, we need to first calculate the area of the front triangular face and the area of the right rectangular face.
Area of the front triangular face:
Area = 0.5 x base x height
Area = 0.5 x 16m x 15m
Area = 120 square meters
Area of the right rectangular face:
Area = length x width
Area = 17m x 11m
Area = 187 square meters
Since the net of the triangular prism consists of two triangles and three rectangles, the total surface area is calculated by adding the areas of the front triangular face, right rectangular face, two lateral rectangular faces, and the bottom rectangular face.
Total surface area = 2 (area of front triangle) + 2 (area of lateral rectangle) + area of bottom rectangle
Total surface area = 2 (120 square meters) + 2 (187 square meters) + 187 square meters
Total surface area = 240 + 374 + 187
Total surface area = 801 square meters
Therefore, the surface area of the net of the triangular prism is 801 square meters.
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
822 square meters
822 square meters
779 square meters
779 square meters
790 square meters
790 square meters
768 square meters
768 square meters
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