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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?

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

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 all together.

1. Top rectangle: Area = 54 square inches
2. Bottom rectangle (same as top): Area = 54 square inches
3. First side rectangle (same as third): Area = 36 square inches
4. Second side rectangle (same as fourth): Area = 24 square inches
5. Front rectangle: Area = 36 square inches
6. Back rectangle (same as front): Area = 36 square inches

Now, add all the areas together:
54 + 54 + 36 + 24 + 36 + 36 = 240 square inches

Therefore, the surface area of the rectangular prism is 240 square inches.