Coordinate Geometry and Nets Unit Test

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Question
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An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and bigger. The second and fourth are similar and smaller. The area of the second rectangle is labeled 24 square inches. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side. The area of the top rectangle is labeled as 54 square inches and the area of the third rectangle is labeled as 36 square inches.

What is the surface area of the rectangular prism?

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Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To find the surface area of the rectangular prism, we need to add up the areas of all 6 rectangles.

1. The area of the first rectangle is 54 square inches.
2. The area of the second rectangle is 24 square inches.
3. The area of the third rectangle is 36 square inches.
4. The area of the fourth rectangle is 24 square inches.
5. The area of the top rectangular base is 54 square inches.
6. The area of the bottom rectangular base is 54 square inches.

Adding these areas together:

54 + 24 + 36 + 24 + 54 + 54 = 246 square inches

Therefore, the surface area of the rectangular prism is 246 square inches.

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