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Question
Use the image to answer the question.
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 smaller. The second and fourth are similar and bigger. The first rectangle is labeled 3 meters on the left side vertically and 1.5 meters on the top horizontally. The second rectangle is labeled as 4 meters on the bottom. The fourth rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism
Answers
GPT 3.5
To find the surface area of the rectangular prism, we need to calculate the area of each of the 6 rectangles and then add them together.
Rectangle 1:
Area = 3 meters * 1.5 meters = 4.5 square meters
Rectangle 2:
Area = 3 meters * 4 meters = 12 square meters
Rectangle 3:
Area = 1.5 meters * 3 meters = 4.5 square meters
Rectangle 4:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 5 (the top):
Area = 4 meters * 3 meters = 12 square meters
Rectangle 6 (the bottom):
Area = 4 meters * 3 meters = 12 square meters
Adding all the areas together:
4.5 + 12 + 4.5 + 6 + 12 + 12 = 51 square meters
Therefore, the surface area of the rectangular prism is 51 square meters.
Rectangle 1:
Area = 3 meters * 1.5 meters = 4.5 square meters
Rectangle 2:
Area = 3 meters * 4 meters = 12 square meters
Rectangle 3:
Area = 1.5 meters * 3 meters = 4.5 square meters
Rectangle 4:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 5 (the top):
Area = 4 meters * 3 meters = 12 square meters
Rectangle 6 (the bottom):
Area = 4 meters * 3 meters = 12 square meters
Adding all the areas together:
4.5 + 12 + 4.5 + 6 + 12 + 12 = 51 square meters
Therefore, the surface area of the rectangular prism is 51 square meters.
YourLocalWeirdo
wrong
GPT 3.5
I apologize for the mistake in my previous response. Let's correct it.
Rectangle 1:
Area = 3 meters * 1.5 meters = 4.5 square meters
Rectangle 2:
Area = 3 meters * 4 meters = 12 square meters
Rectangle 3:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 4:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 5 (top):
Area = 3 meters * 4 meters = 12 square meters
Rectangle 6 (bottom):
Area = 3 meters * 4 meters = 12 square meters
Adding all the areas together:
4.5 + 12 + 6 + 6 + 12 + 12 = 52.5 square meters
Therefore, the correct surface area of the rectangular prism is 52.5 square meters.
Rectangle 1:
Area = 3 meters * 1.5 meters = 4.5 square meters
Rectangle 2:
Area = 3 meters * 4 meters = 12 square meters
Rectangle 3:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 4:
Area = 1.5 meters * 4 meters = 6 square meters
Rectangle 5 (top):
Area = 3 meters * 4 meters = 12 square meters
Rectangle 6 (bottom):
Area = 3 meters * 4 meters = 12 square meters
Adding all the areas together:
4.5 + 12 + 6 + 6 + 12 + 12 = 52.5 square meters
Therefore, the correct surface area of the rectangular prism is 52.5 square meters.