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 bigger. The second and fourth are similar and smaller. The third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
(1 point)
in.2
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 third rectangle is labeled 4 inches on the top horizontally. The fourth rectangle is labeled as 2.25 inches on the top and 8 inches on the right side. The first rectangle shares the top and bottom sides with two similar rectangles, one on each side.
What is the surface area of the rectangular prism?
(1 point)
in.2
Answers
Answer
wrong
Answered by
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.
The first rectangle:
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The second rectangle:
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
The third rectangle:
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The fourth rectangle:
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
The fifth rectangle (same as first):
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The sixth rectangle (same as second):
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
Adding all the areas together:
9 in² + 32 in² + 9 in² + 32 in² + 9 in² + 32 in² = 123 in²
Therefore, the surface area of the rectangular prism is 123 in².
The first rectangle:
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The second rectangle:
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
The third rectangle:
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The fourth rectangle:
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
The fifth rectangle (same as first):
- Dimensions: 4 inches x 2.25 inches
- Area: 4 inches x 2.25 inches = 9 in²
The sixth rectangle (same as second):
- Dimensions: 4 inches x 8 inches
- Area: 4 inches x 8 inches = 32 in²
Adding all the areas together:
9 in² + 32 in² + 9 in² + 32 in² + 9 in² + 32 in² = 123 in²
Therefore, the surface area of the rectangular prism is 123 in².
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's recalculate the surface area of the rectangular prism.
Each rectangular prism has 6 faces. To find the surface area of a rectangular prism, we need to calculate the areas of all 6 faces and then sum them up.
Face 1 (4 in x 2.25 in): 4 in x 2.25 in = 9 in²
Face 2 (4 in x 2.25 in): 4 in x 2.25 in = 9 in²
Face 3 (4 in x 8 in): 4 in x 8 in = 32 in²
Face 4 (4 in x 8 in): 4 in x 8 in = 32 in²
Face 5 (2.25 in x 8 in): 2.25 in x 8 in = 18 in²
Face 6 (2.25 in x 8 in): 2.25 in x 8 in = 18 in²
Total surface area:
9 in² + 9 in² + 32 in² + 32 in² + 18 in² + 18 in² = 118 in²
Therefore, the correct surface area of the rectangular prism is 118 in². Thank you for bringing this to my attention.
Each rectangular prism has 6 faces. To find the surface area of a rectangular prism, we need to calculate the areas of all 6 faces and then sum them up.
Face 1 (4 in x 2.25 in): 4 in x 2.25 in = 9 in²
Face 2 (4 in x 2.25 in): 4 in x 2.25 in = 9 in²
Face 3 (4 in x 8 in): 4 in x 8 in = 32 in²
Face 4 (4 in x 8 in): 4 in x 8 in = 32 in²
Face 5 (2.25 in x 8 in): 2.25 in x 8 in = 18 in²
Face 6 (2.25 in x 8 in): 2.25 in x 8 in = 18 in²
Total surface area:
9 in² + 9 in² + 32 in² + 32 in² + 18 in² + 18 in² = 118 in²
Therefore, the correct surface area of the rectangular prism is 118 in². Thank you for bringing this to my attention.