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
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.