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 identical 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

80 ft.2
80 ft squared

66 ft.2
66 ft squared

132 ft.2
132 ft squared
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1 answer

To find the surface area of the rectangular prism represented by the net, you need to calculate the area of each of the six rectangles and then add them all together.

1st rectangle (2 ft x 5 ft) = 10 ft²
2nd rectangle (2 ft x 8 ft) = 16 ft²
3rd rectangle (2 ft x 5 ft) = 10 ft²
4th rectangle (2 ft x 8 ft) = 16 ft²
5th rectangle (5 ft x 8 ft) = 40 ft²
6th rectangle (5 ft x 8 ft) = 40 ft²

Adding all the areas together:
10 ft² + 16 ft² + 10 ft² + 16 ft² + 40 ft² + 40 ft² = 132 ft²

So, the surface area of the rectangular prism represented by the net is 132 ft².