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 answer

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.
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