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To calculate the outside diameter of a roll of carpet, you can use the following formula:

Outside Diameter (in inches) = √[(Weight in pounds / (Width in feet x Length in feet)) * 32]

In your case:

  • Weight = 1000 pounds

  • Width = 12 feet

  • Length = 180 feet

Outside Diameter (in inches) = √[(1000 / (12 x 180)) * 32]

Outside Diameter ≈ √[(1000 / 2160) * 32]

Outside Diameter ≈ √(0.1481 * 32)

Outside Diameter ≈ √4.7392

Outside Diameter ≈ 2.18 inches

So, the outside diameter of a 1000-pound roll of carpet that is 12 feet by 180 feet is approximately 2.18 inches.

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