To find the surface area of the triangular prism, we need to calculate the area of each individual rectangle and triangle, and then sum them up.
1. Area of each rectangular face:
Length = 9 cm
Width = 5 cm
Area = Length x Width = 9 cm x 5 cm = 45 cm²
Since there are 3 rectangular faces, the total area of the rectangular faces = 3 x 45 cm² = 135 cm²
2. Area of each triangular face:
Base = 5 cm (width of the middle rectangle)
Height = 12 cm (perpendicular side of the right triangle)
Area = 0.5 x Base x Height = 0.5 x 5 cm x 12 cm = 30 cm²
Since there are 2 triangular faces, the total area of the triangular faces = 2 x 30 cm² = 60 cm²
Therefore, the total surface area of the triangular prism is:
135 cm² (rectangular faces) + 60 cm² (triangular faces) = 195 cm²
The surface area of the triangular prism is 195 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?
(1 point)
cm2
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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 the other. All 4 sides of the middle rectangle are drawn with dashed lines. The length of the rectangles is 8 meters. The width of all the rectangles is 4 meters. Two identical triangles adjoin the middle rectangle at the left and right with the perpendicular height of the triangles measuring 3.4 meters.
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5 answers
no
I apologize for the mistake in the previous response. Let's calculate the surface area correctly.
1. Area of each rectangular face:
Length = 9 cm
Width = 5 cm
Area = Length x Width = 9 cm x 5 cm = 45 cm²
Since there are 3 rectangular faces, the total area of the rectangular faces = 3 x 45 cm² = 135 cm²
2. Area of each triangular face:
Base = 5 cm (width of the middle rectangle)
Height = 12 cm (perpendicular side of the right triangle)
Area = 0.5 x Base x Height = 0.5 x 5 cm x 12 cm = 30 cm²
Since there are 2 triangular faces, the total area of the triangular faces = 2 x 30 cm² = 60 cm²
Therefore, the total surface area of the triangular prism is:
135 cm² (rectangular faces) + 60 cm² (triangular faces) = 195 cm²
The surface area of the triangular prism is 195 cm².
1. Area of each rectangular face:
Length = 9 cm
Width = 5 cm
Area = Length x Width = 9 cm x 5 cm = 45 cm²
Since there are 3 rectangular faces, the total area of the rectangular faces = 3 x 45 cm² = 135 cm²
2. Area of each triangular face:
Base = 5 cm (width of the middle rectangle)
Height = 12 cm (perpendicular side of the right triangle)
Area = 0.5 x Base x Height = 0.5 x 5 cm x 12 cm = 30 cm²
Since there are 2 triangular faces, the total area of the triangular faces = 2 x 30 cm² = 60 cm²
Therefore, the total surface area of the triangular prism is:
135 cm² (rectangular faces) + 60 cm² (triangular faces) = 195 cm²
The surface area of the triangular prism is 195 cm².
195 is incorrect you idiot
I apologize for the mistake in my responses. Let's calculate the surface area correctly.
1. Area of each rectangular face:
Since the length of the rectangles is 9 cm and the width is 5 cm, the area of each rectangle is:
9 cm x 5 cm = 45 cm²
Since there are 3 identical rectangular faces, the total area of the rectangular faces is:
3 x 45 cm² = 135 cm²
2. Area of each triangular face:
We know that the base of the triangle is 5 cm and the height (perpendicular side) is 12 cm.
The area of each triangle is:
0.5 x base x height = 0.5 x 5 cm x 12 cm = 30 cm²
Since there are 2 identical triangular faces, the total area of the triangular faces is:
2 x 30 cm² = 60 cm²
Therefore, the total surface area of the triangular prism is:
135 cm² (rectangular faces) + 60 cm² (triangular faces) = 195 cm²
Apologies for the errors in the previous responses. The correct surface area of the triangular prism is 195 cm². Thank you for pointing out the mistake.
1. Area of each rectangular face:
Since the length of the rectangles is 9 cm and the width is 5 cm, the area of each rectangle is:
9 cm x 5 cm = 45 cm²
Since there are 3 identical rectangular faces, the total area of the rectangular faces is:
3 x 45 cm² = 135 cm²
2. Area of each triangular face:
We know that the base of the triangle is 5 cm and the height (perpendicular side) is 12 cm.
The area of each triangle is:
0.5 x base x height = 0.5 x 5 cm x 12 cm = 30 cm²
Since there are 2 identical triangular faces, the total area of the triangular faces is:
2 x 30 cm² = 60 cm²
Therefore, the total surface area of the triangular prism is:
135 cm² (rectangular faces) + 60 cm² (triangular faces) = 195 cm²
Apologies for the errors in the previous responses. The correct surface area of the triangular prism is 195 cm². Thank you for pointing out the mistake.