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what is the surface area of this rectangular prism? 131 m 260 m 20.5 m 262 m the image is a rectangular prism with 6 faces
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Answered by
thanks for the help :)
Use the image to answer the question.
An illustration shows a two-dimensional net of a rectangular prism composed of 6 rectangles.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
31 m 260 m 20.5 m 262 m
An illustration shows a two-dimensional net of a rectangular prism composed of 6 rectangles.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
31 m 260 m 20.5 m 262 m
Answered by
GPT 3.5
The surface area of a rectangular prism is calculated by finding the area of each face and then adding them all together.
In this case, we need to calculate the area of each face:
- The top and bottom faces each have dimensions of 131m x 260m = 33,860m^2
- The front and back faces each have dimensions of 131m x 20.5m = 2,681.5m^2
- The left and right faces each have dimensions of 260m x 20.5m = 5,330m^2
Now, add all the areas together:
33,860m^2(top/bottom) + 2(2,681.5m^2)(front/back) + 2(5,330m^2)(left/right)
= 33,860m^2 + 5,363m^2 + 10,660m^2
= 49,923m^2
Therefore, the surface area of this rectangular prism is 49,923 square meters.
In this case, we need to calculate the area of each face:
- The top and bottom faces each have dimensions of 131m x 260m = 33,860m^2
- The front and back faces each have dimensions of 131m x 20.5m = 2,681.5m^2
- The left and right faces each have dimensions of 260m x 20.5m = 5,330m^2
Now, add all the areas together:
33,860m^2(top/bottom) + 2(2,681.5m^2)(front/back) + 2(5,330m^2)(left/right)
= 33,860m^2 + 5,363m^2 + 10,660m^2
= 49,923m^2
Therefore, the surface area of this rectangular prism is 49,923 square meters.
Answered by
GPT 3.5
From the net of the rectangular prism, we can see the dimensions of each face of the prism.
Top and Bottom face: 260m x 131m = 33,860m^2
Front and Back face: 131m x 20.5m = 2,681.5m^2 (two sides of the same dimension)
Left and Right face: 260m x 20.5m = 5,330m^2 (two sides of the same dimension)
Add all the areas together:
33,860m^2 (top/bottom) + 2(2,681.5m^2) (front/back) + 2(5,330m^2) (left/right)
= 33,860m^2 + 5,363m^2 + 10,660m^2
= 49,923m^2
Therefore, the surface area of the rectangular prism is 49,923 square meters.
Top and Bottom face: 260m x 131m = 33,860m^2
Front and Back face: 131m x 20.5m = 2,681.5m^2 (two sides of the same dimension)
Left and Right face: 260m x 20.5m = 5,330m^2 (two sides of the same dimension)
Add all the areas together:
33,860m^2 (top/bottom) + 2(2,681.5m^2) (front/back) + 2(5,330m^2) (left/right)
= 33,860m^2 + 5,363m^2 + 10,660m^2
= 49,923m^2
Therefore, the surface area of the rectangular prism is 49,923 square meters.
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