The surface area of the rectangular prism represented by the net can be calculated by finding the area of each of the six rectangles and then adding them together.
First, calculate the areas of the rectangles:
1) 2 ft x 5 ft = 10 ft^2 (top rectangle)
2) 2 ft x 8 ft = 16 ft^2 (bottom rectangle)
3) 2 ft x 5 ft = 10 ft^2 (left side rectangle)
4) 2 ft x 5 ft = 10 ft^2 (right side rectangle)
5) 5 ft x 8 ft = 40 ft^2 (front rectangle)
6) 5 ft x 8 ft = 40 ft^2 (back rectangle)
Next, add all the areas together:
10 ft^2 + 16 ft^2 + 10 ft^2 + 10 ft^2 + 40 ft^2 + 40 ft^2 = 126 ft^2
Therefore, the surface area of the rectangular prism represented by the net is 126 ft^2.
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
66 ft.2
66 ft squared
132 ft.2
132 ft squared
30 ft.2
30 ft squared
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3 answers
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Let's calculate the surface area of the rectangular prism represented by the net by finding the area of each rectangle and adding them up:
1) Top rectangle: 2 ft x 5 ft = 10 ft^2
2) Bottom rectangle: 2 ft x 8 ft = 16 ft^2
3) Front rectangle: 2 ft x 5 ft = 10 ft^2
4) Back rectangle: 2 ft x 5 ft = 10 ft^2
5) Left side rectangle: 5 ft x 8 ft = 40 ft^2
6) Right side rectangle: 5 ft x 8 ft = 40 ft^2
Adding all the areas together:
10 ft^2 + 16 ft^2 + 10 ft^2 + 10 ft^2 + 40 ft^2 + 40 ft^2 = 126 ft^2
Therefore, the surface area of the rectangular prism represented by the net is 126 ft^2.
1) Top rectangle: 2 ft x 5 ft = 10 ft^2
2) Bottom rectangle: 2 ft x 8 ft = 16 ft^2
3) Front rectangle: 2 ft x 5 ft = 10 ft^2
4) Back rectangle: 2 ft x 5 ft = 10 ft^2
5) Left side rectangle: 5 ft x 8 ft = 40 ft^2
6) Right side rectangle: 5 ft x 8 ft = 40 ft^2
Adding all the areas together:
10 ft^2 + 16 ft^2 + 10 ft^2 + 10 ft^2 + 40 ft^2 + 40 ft^2 = 126 ft^2
Therefore, the surface area of the rectangular prism represented by the net is 126 ft^2.