Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and smaller. The top of the first rectangle is labeled 2 feet. The second and fourth are similar and bigger. The fourth rectangle is labeled 8 feet on the right side. The second rectangle shares the top and bottom sides with two similar rectangles, one on each side. The top rectangle is labeled as 5 feet on the top side.
Use this net to find the surface area of the rectangular prism it represents.
(1 point)
Responses
30 ft.2
30 ft squared
132 ft.2
132 ft squared
80 ft.2
80 ft squared
66 ft.2
The surface area of a rectangular prism can be found by adding together the areas of each of the six faces.
The areas of the rectangles are:
1. 2 ft * 5 ft = 10 ft²
2. 2 ft * 8 ft = 16 ft²
3. 5 ft * 8 ft = 40 ft²
4. 2 ft * 5 ft = 10 ft²
5. 2 ft * 8 ft = 16 ft²
6. 5 ft * 8 ft = 40 ft²
Adding these all together:
10 ft² + 16 ft² + 40 ft² + 10 ft² + 16 ft² + 40 ft² = 132 ft²
Therefore, the surface area of the rectangular prism is 132 ft².