Question
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
75 in.2
75 in.2
212 in.2
212 in.2
123 in.2
123 in.2
150 in.2
150 in.2
Skip to navigation
To calculate the surface area of the rectangular prism, we need to find the area of each of the six rectangles and then add them together.
Looking at the image, we can see that the rectangular prism is made up of 2 rectangles on the top and bottom (each with dimensions of 6 in. by 5 in.), 2 rectangles on the sides (each with dimensions of 8 in. by 5 in.), and 2 rectangles on the front and back (each with dimensions of 6 in. by 8 in.).
Calculating the area of each rectangle:
Top and bottom rectangles: 6 in. x 5 in. = 30 in.2 (each)
Side rectangles: 8 in. x 5 in. = 40 in.2 (each)
Front and back rectangles: 6 in. x 8 in. = 48 in.2 (each)
Adding them together:
2(30 in.2) + 2(40 in.2) + 2(48 in.2)
60 in.2 + 80 in.2 + 96 in.2
236 in.2
Therefore, the surface area of the rectangular prism is 236 in.2.
The closest option provided is 212 in.2, so the correct answer would be:
212 in.2