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

212 in.2
212 in.2

75 in.2
75 in.2

123 in.2
123 in.2

150 in.2

1 answer

The surface area of the rectangular prism is 212 in^2.

Explanation: The surface area can be calculated by finding the area of each of the 6 rectangles that make up the net and then adding them together.

1. The two larger rectangles have dimensions of 5 in and 12 in. Adding these dimensions reveals a combined area of 5 in x 12 in = 60 in^2 x 2 = 120 in^2.

2. The remaining four rectangles all have dimensions of 5 in by 3 in, for a total of 5 in x 3 in = 15 in^2. Adding these will give us a combined total of 15 in^2 x 4 = 60 in^2.

Combining both of the above calculations, we have a total surface area of 120 in^2 + 60 in^2 = 180 in^2.

Therefore, the surface area of the rectangular prism is 180 in^2.