Use the image to answer the question.
The image appears to be a chart showing three values: 5 ft, 2 ft, and 8 ft. It includes tags such as diagram, line, rectangle, square, parallel, and design.
Use this net to find the surface area of the rectangular prism it represents.
(1 point)
Responses
132 ft.2
132 ft squared
30 ft.2
30 ft squared
66 ft.2
66 ft squared
80 ft.2
To find the surface area of the rectangular prism represented by the net in the image, we need to calculate the areas of each individual rectangle and square and then add them together.
The net shows the following dimensions:
- Rectangle with dimensions 5 ft by 8 ft: 2(5 ft * 8 ft) = 80 ft²
- Rectangle with dimensions 5 ft by 2 ft: 2(5 ft * 2 ft) = 20 ft²
- Square with dimensions 8 ft by 8 ft: 8 ft * 8 ft = 64 ft²
Adding all these areas together:
80 ft² + 20 ft² + 64 ft² = 164 ft²
Therefore, the surface area of the rectangular prism represented by the net is 164 ft².
thats not an answer
I apologize for the mistake in my previous response. Let's try to find the correct answer.
The net in the image represents a rectangular prism with dimensions 5 ft (length), 8 ft (width), and 2 ft (height).
The surface area of a rectangular prism can be calculated using the formula:
Surface Area = 2lw + 2lh + 2wh
Plugging in the dimensions:
Surface Area = 2(5 ft * 8 ft) + 2(5 ft * 2 ft) + 2(8 ft * 2 ft)
Surface Area = 2(40 ft²) + 2(10 ft²) + 2(16 ft²)
Surface Area = 80 ft² + 20 ft² + 32 ft²
Surface Area = 132 ft²
Therefore, the surface area of the rectangular prism represented by the net in the image is 132 ft².