To find the surface area of the triangular prism, we must calculate the area of each of the three rectangles and two triangles separately, and then add them up.
Rectangle 1:
Area = length x width
Area = 9 cm x 5 cm = 45 cm²
Rectangle 2:
Area = 9 cm x 5 cm = 45 cm²
Rectangle 3:
Area = 9 cm x 5 cm = 45 cm²
Triangle 1:
Area = 1/2 x base x height
Area = 1/2 x 9 cm x 12 cm = 54 cm²
Triangle 2:
Area = 1/2 x base x height
Area = 1/2 x 9 cm x 12 cm = 54 cm²
Now, add up the areas of all the shapes:
45 cm² + 45 cm² + 45 cm² + 54 cm² + 54 cm² = 243 cm²
Therefore, the surface area of the triangular prism is 243 cm².
Use the image to answer the question.
An illustration shows a two-dimensional net of a triangular prism with all of its sides open and visible. The net appears as three vertical rectangles joined next to each other. All 4 sides of the middle rectangle are drawn with dashed lines. The length of the rectangles is 9 centimeters. The width of the middle rectangle is 5 centimeters. Two right triangles adjoin the middle rectangle at the top and bottom. The perpendicular side measures 12 centimeters and the hypotenuse measures 13 centimeters.
Using the net, what is the surface area of the triangular prism?
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