Surface Area of Rectangular Prisms Quick Check
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Question
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
132 ft.2
132 ft squared
66 ft.2
66 ft squared
30 ft.2
30 ft squared
80 ft.2
80 ft squared
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To find the surface area of the rectangular prism, you need to calculate the sum of the areas of all six rectangles.
The areas of the rectangles are:
- The first rectangle (2 feet x 5 feet) = 10 ft squared
- The second rectangle (2 feet x 8 feet) = 16 ft squared
- The third rectangle (2 feet x 5 feet) = 10 ft squared
- The fourth rectangle (8 feet x 5 feet) = 40 ft squared
- The fifth rectangle (8 feet x 5 feet) = 40 ft squared
- The sixth rectangle (8 feet x 5 feet) = 40 ft squared
Adding all these areas together, you get:
10 + 16 + 10 + 40 + 40 + 40 = 156 ft squared
Therefore, the correct answer is:
156 ft.2