17 15 11 16
What is the surface area of the net of the triangular prism
822 m
790 m
768 m
779 m
The surface area of the net of a triangular prism can be found by calculating the area of each of the individual shapes that make up the net.
The triangular prism consists of two triangular bases and three rectangular faces.
The area of each triangular base can be calculated using the formula for the area of a triangle: 0.5 x base x height. In this case, the base is 17 meters and the height is 15 meters.
Area of each triangular base = 0.5 x 17 x 15 = 127.5 m^2
The area of each rectangular face can be calculated using the formula for the area of a rectangle: length x width. In this case, the length is 16 meters and the width is either 17, 15, or 11 meters.
The total surface area of the net of the triangular prism is the sum of the areas of the two triangular bases and the three rectangular faces.
Total surface area = 2(127.5) + 3(16 x 17) = 255 + 768 = 1023 m^2
Therefore, the surface area of the net of the triangular prism is 1023 m^2.
So the closest option is 790 m.