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
66 ft.2
66 ft squared
80 ft.2
80 ft squared
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To find the surface area of the rectangular prism represented by the net, we need to calculate the area of each individual rectangle and then add them up.
The rectangles are as follows:
- 2 rectangles with dimensions 2 ft x 5 ft = 2 x 5 = 10 ft^2 each
- 2 rectangles with dimensions 2 ft x 8 ft = 2 x 8 = 16 ft^2 each
- 2 rectangles with dimensions 5 ft x 8 ft = 5 x 8 = 40 ft^2 each
Adding up all the areas:
10 ft^2 + 10 ft^2 + 16 ft^2 + 16 ft^2 + 40 ft^2 + 40 ft^2 = 132 ft^2
Therefore, the surface area of the rectangular prism represented by the net is 132 ft^2.