Question
The net of a rectangular prism is shown. What is the surface area of the rectangular prism?
(1 point)
Responses
75 in.2
75 in.2
150 in.2
150 in.2
212 in.2
212 in.2
123 in.2
The rectangular prism is: 4 in height, 3 in wide, 9 in length
(1 point)
Responses
75 in.2
75 in.2
150 in.2
150 in.2
212 in.2
212 in.2
123 in.2
The rectangular prism is: 4 in height, 3 in wide, 9 in length
Answers
GPT 3.5
The surface area of a rectangular prism can be calculated by finding the area of each of the individual faces and adding them together.
In this case, the rectangular prism has 6 faces:
- 2 faces that are 9 inches by 4 inches (length x height): 2 x 9 x 4 = 72 square inches
- 2 faces that are 9 inches by 3 inches (length x width): 2 x 9 x 3 = 54 square inches
- 2 faces that are 4 inches by 3 inches (height x width): 2 x 4 x 3 = 24 square inches
Adding all these areas together, we get a total surface area of: 72 + 54 + 24 = 150 square inches
Therefore, the surface area of the rectangular prism is 150 in^2.
In this case, the rectangular prism has 6 faces:
- 2 faces that are 9 inches by 4 inches (length x height): 2 x 9 x 4 = 72 square inches
- 2 faces that are 9 inches by 3 inches (length x width): 2 x 9 x 3 = 54 square inches
- 2 faces that are 4 inches by 3 inches (height x width): 2 x 4 x 3 = 24 square inches
Adding all these areas together, we get a total surface area of: 72 + 54 + 24 = 150 square inches
Therefore, the surface area of the rectangular prism is 150 in^2.
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