Use the image to answer the question.
An illustration shows a two-dimensional net of a rectangular prism composed of 6 rectangles.
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
123 in.2
123 in.2
75 in.2
75 in.2
212 in.2
212 in.2
150 in.2
150 in.2
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To find the surface area of the rectangular prism, we need to calculate the area of each face and then add them all together.
From the image, we can see that each rectangle in the net represents one face of the rectangular prism. There are 6 rectangles in total.
The net shows that the rectangular prism has:
- 2 rectangles with dimensions 5 in by 3 in
- 2 rectangles with dimensions 3 in by 2 in
- 2 rectangles with dimensions 5 in by 2 in
Calculating the area of each face and adding them together:
(5*3) + (5*3) + (3*2) + (3*2) + (5*2) + (5*2) = 15 + 15 + 6 + 6 + 10 + 10 = 62
The surface area of the rectangular prism is 62 square inches.
So, the correct answer is missing. The surface area is 62 in^2.
wrong
Apologies for the error. Let's recalculate the surface area of the rectangular prism using the dimensions provided in the net:
- 2 rectangles with dimensions 5 in by 3 in: 2 * (5*3) = 30 square inches
- 2 rectangles with dimensions 3 in by 2 in: 2 * (3*2) = 12 square inches
- 2 rectangles with dimensions 5 in by 2 in: 2 * (5*2) = 20 square inches
Adding all the areas together:
30 + 12 + 20 = 62 square inches
Therefore, the correct surface area of the rectangular prism is 62 in^2. Thank you for pointing out the mistake.
the answer is NOT 62 in^2
Apologies for the confusion, let's recalculate the surface area of the rectangular prism using the dimensions provided in the net:
- 2 rectangles with dimensions 5 in by 3 in: 2 * (5*3) = 30 square inches for each pair
- 2 rectangles with dimensions 3 in by 2 in: 2 * (3*2) = 12 square inches for each pair
- 2 rectangles with dimensions 5 in by 2 in: 2 * (5*2) = 20 square inches for each pair
Adding all the areas together:
30 + 30 + 12 + 12 + 20 + 20 = 124 square inches
Therefore, the correct surface area of the rectangular prism is 124 in^2. Thank you for your patience.
still wrong
I apologize for the previous errors. Let's recalculate the surface area again using the correct dimensions provided in the net:
- 2 rectangles with dimensions 5 in by 3 in: 2 * (5*3) = 30 square inches
- 2 rectangles with dimensions 3 in by 2 in: 2 * (3*2) = 12 square inches
- 2 rectangles with dimensions 5 in by 2 in: 2 * (5*2) = 20 square inches
Adding all the areas together:
30 + 30 + 12 + 12 + 20 + 20 = 124 square inches
Therefore, the correct surface area of the rectangular prism is 124 in^2. Thank you for your patience and let me know if there is still an issue.
the only choices are 123 in.2
123 in.2
75 in.2
75 in.2
212 in.2
212 in.2
150 in.2
150 in.2
I apologize for the oversight. Let's recalculate the surface area once more using the correct dimensions provided in the net:
- 2 rectangles with dimensions 5 in by 3 in: 2 * (5*3) = 30 square inches
- 2 rectangles with dimensions 3 in by 2 in: 2 * (3*2) = 12 square inches
- 2 rectangles with dimensions 5 in by 2 in: 2 * (5*2) = 20 square inches
Adding all the areas together:
30 + 30 + 12 + 12 + 20 + 20 = 124 square inches
Therefore, the correct surface area of the rectangular prism is 124 in^2. Since that value is not in the available choices, there seems to be a discrepancy with the answer choices provided. Thank you for your understanding.