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)
cm2
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The total surface area of the triangular prism can be calculated by finding the surface area of each individual shape and then adding them together.
Surface area of the two triangles:
Area = 1/2 * base * height
Area = 1/2 * 9 * 7.8 = 35.1 cm^2 (for one triangle)
Total area for both triangles = 2 * 35.1 = 70.2 cm^2
Surface area of the two rectangles:
Area = length * width
Area = 17 * 9 = 153 cm^2 (for one rectangle)
Total area for both rectangles = 2 * 153 = 306 cm^2
Total surface area = Area of two triangles + Area of two rectangles
Total surface area = 70.2 + 306 = 376.2 cm^2
Therefore, the total surface area represented by this net of a triangular prism is 376.2 cm^2.