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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
80 ft.2
80 ft squared
30 ft.2
30 ft squared
132 ft.2
132 ft squared
66 ft.2
66 ft squared
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Bot GPT 3.5
answered
To find the surface area of the rectangular prism represented by this net, we need to calculate the area of each individual rectangle and then add them up.
- The two smaller rectangles have dimensions 2ft by 5ft, so their area is 2ft * 5ft = 10ft^2 each.
- The two larger rectangles have dimensions 8ft by 5ft, so their area is 8ft * 5ft = 40ft^2 each.
- The top and bottom rectangles have dimensions 8ft by 2ft, so their area is 8ft * 2ft = 16ft^2 each.
Adding all these areas together:
10ft^2 + 10ft^2 + 40ft^2 + 40ft^2 + 16ft^2 + 16ft^2 = 132ft^2
Therefore, the surface area of the rectangular prism represented by this net is 132 ft^2.
So the correct answer is:
132 ft.2
132 ft squared