Use the image to answer the question.
An illustration shows a 2 D net of a triangular prism with all of its sides open and visible. Dimensions are labeled. The parts that are not visible in 3 D view are marked with dashed lines. It appears as a triangle in the middle attached to a rectangle on each side. The sides of two legs of the triangle are each labeled 9 centimeters. The length and width of the rectangles is 17 centimeters and 9 centimeters respectively. Another triangle of vertical height 7.8 centimeters is attached to one of the rectangles, opposite to the middle triangle.
What is the total surface area represented by this net of a triangular prism? Your answer should have two decimal places.
(1 point)
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uh ok.. Use the image to answer the question.
An illustration shows a 2 D net of a triangular prism with all of its sides open and visible. Dimensions are labeled. The parts that are not visible in 3 D view are marked with dashed lines. It appears as a triangle in the middle attached to a rectangle on each side. The sides of two legs of the triangle are each labeled 9 centimeters. The length and width of the rectangles is 17 centimeters and 9 centimeters respectively. Another triangle of vertical height 7.8 centimeters is attached to one of the rectangles, opposite to the middle triangle.
What is the total surface area represented by this net of a triangular prism? Your answer should have two decimal places.
(1 point)
The total surface area represented by the net of the triangular prism can be calculated as follows:
- The area of the two triangles is (1/2) x base x height, where the base is 9 cm and the height is 7.8 cm. Therefore, the total area of the two triangles is 2 x (1/2) x 9 cm x 7.8 cm = 70.2 cm^2.
- The area of the three rectangles is length x width. Therefore, the total area of the three rectangles is 3 x 17 cm x 9 cm = 459 cm^2.
- The area of the top and bottom faces is the same as the area of the middle triangle (since they have the same shape and dimensions). Therefore, the total area of the top and bottom faces is 2 x 70.2 cm^2 = 140.4 cm^2.
Adding up all these areas, we get:
70.2 cm^2 + 459 cm^2 + 140.4 cm^2 = 669.6 cm^2
Therefore, the total surface area represented by this net of the triangular prism is 669.6 square centimeters (rounded to two decimal places).