Use the image to answer the question. 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 80 ft.2 80 ft squared 66 ft.2

1 answer

To find the surface area of the rectangular prism represented by the net, we need to find the area of each face and then add them up.

Looking at the net:
- The two larger rectangles have dimensions 3 ft by 4 ft, so their combined area is 2 * (3 ft * 4 ft) = 24 ft^2
- The two smaller rectangles have dimensions 1 ft by 3 ft, so their combined area is 2 * (1 ft * 3 ft) = 6 ft^2
- The top and bottom faces are squares with dimensions 3 ft by 3 ft, so their combined area is 2 * (3 ft * 3 ft) = 18 ft^2

Now, add up all these areas:
24 ft^2 + 6 ft^2 + 18 ft^2 = 48 ft^2 + 18 ft^2 = 66 ft^2

Therefore, the surface area of the rectangular prism represented by the net is 66 ft^2.