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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 unlabeled. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 9 centimeters on the bottom and 5 centimeters on the right side. The right most rectangle is labeled 8 cm vertically on the right side.

What is the surface area of the rectangular prism?(1 point)
cm2
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User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To calculate the surface area of the rectangular prism, we need to find the area of each of the 6 rectangles and then add them up.

1. The first rectangle: Not enough information is given to calculate the area of this rectangle.

2. The second rectangle: Area = 9 cm x 8 cm = 72 cm²

3. The third rectangle: Not enough information is given to calculate the area of this rectangle, but it is similar to the first rectangle.

4. The fourth rectangle: Area = 8 cm x 5 cm = 40 cm²

5. The top rectangle: Area = 9 cm x 5 cm = 45 cm²

6. The bottom rectangle: The same as the top rectangle, so the area is also 45 cm².

Adding up the areas of the rectangles we can calculate:

72 cm² (second rectangle) + 40 cm² (fourth rectangle) + 45 cm² + 45 cm² (top and bottom rectangle) = 202 cm²

Therefore, the surface area of the rectangular prism is 202 cm².

anonymous anonymous answered
6 months ago

wrong

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

Apologies for the mistake. Let's recalculate the surface area of the rectangular prism:

1. The second rectangle: Area = 9 cm x 8 cm = 72 cm²
2. The fourth rectangle: Area = 8 cm x 5 cm = 40 cm²
3. The top rectangle: Area = 9 cm x 5 cm = 45 cm²
4. The bottom rectangle: Area = 9 cm x 5 cm = 45 cm²
5. The first and third rectangles are similar to the second and fourth rectangles, so their areas are also 72 cm² and 40 cm² respectively.

Now, we add up the areas:

72 cm² (second rectangle) + 40 cm² (fourth rectangle) + 45 cm² (top rectangle) + 45 cm² (bottom rectangle) + 72 cm² (first rectangle) + 40 cm² (third rectangle) = 314 cm²

Therefore, the correct surface area of the rectangular prism is 314 cm².