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

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

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.

thanks for the help :) thanks for the help :) answered
1 month ago

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

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

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.

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