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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 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

3 answers

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.
wrong
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.