The surface area of the triangular prism is given by the formula:
Surface Area = 2(Base Area) + (Lateral Area)
The base area is the area of two rectangles, which is 2(8 x 3) = 48 m^2.
The lateral area is the total area of the three rectangles, minus the two triangles. The total area of the three rectangles is 3(8) + 3(8) + 3(2.6) = 49.8 m^2. Since there are two triangles, we subtract their area, which is 2(1/2 x Base x Height) = 2(1/2 x 3 x 2.6) = 7.8 m^2.
Therefore, the lateral area is 49.8 - 7.8 = 42 m^2.
Finally, we can calculate the total surface area:
Surface Area = 2(48) + 42
Surface Area = 96 + 42
Surface Area = 138 m^2
Therefore, the surface area of the triangular prism shown as a net is 138 m^2.
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 horizontal rectangles joined one on top of another. All 4 sides of the middle rectangle are drawn with dashed lines. The length of all the rectangles is 8 meters. The width of all the rectangles is 3 meters. Two identical triangles adjoin the middle rectangle at the left and right, with the perpendicular height of the triangles measuring 2.6 meters.
What is the surface area of the triangular prism shown as a net? Round the answer to the nearest tenth.
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Wrong try again
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The net of the triangular prism consists of 3 rectangles and 2 triangles.
The area of each rectangle is length x width = 8 x 3 = 24 square meters.
The total area of the three rectangles = 3 x 24 = 72 square meters.
The area of each triangle is 1/2 x base x height = 1/2 x 3 x 2.6 = 3.9 square meters.
The total area of the two triangles = 2 x 3.9 = 7.8 square meters.
Adding the total area of rectangles and subtracting the total area of triangles, we get:
Surface Area = 72 - 7.8 = 64.2 square meters.
Therefore, the surface area of the triangular prism shown as a net is 64.2 square meters.
The net of the triangular prism consists of 3 rectangles and 2 triangles.
The area of each rectangle is length x width = 8 x 3 = 24 square meters.
The total area of the three rectangles = 3 x 24 = 72 square meters.
The area of each triangle is 1/2 x base x height = 1/2 x 3 x 2.6 = 3.9 square meters.
The total area of the two triangles = 2 x 3.9 = 7.8 square meters.
Adding the total area of rectangles and subtracting the total area of triangles, we get:
Surface Area = 72 - 7.8 = 64.2 square meters.
Therefore, the surface area of the triangular prism shown as a net is 64.2 square meters.
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