How many sheets of plywood would it take to sheath a roof that covered a building 74' wide,248' long and has a roof pitch of 4" in 12"?

To find out how many sheets of plywood are needed to sheath a roof, we need to calculate the total coverage area required.

1. Determine the area of the roof:
- Convert the roof width from feet to inches by multiplying by 12: 74' * 12 = 888 inches
- Convert the roof length from feet to inches: 248' * 12 = 2976 inches
- Calculate the roof area: Area = Length * Width = 888 inches * 2976 inches

2. Adjust for the roof pitch:
- The roof pitch is given as 4" in 12". This means that for every 12 inches of horizontal length, the roof height increases by 4 inches.
- Calculate the adjusted width: Divide the original width by the roof pitch fraction. In this case, 4"/12" simplifies to 1/3. So the adjusted width would be 888 inches / (1/3) = 888 inches * 3 = 2664 inches.

3. Calculate the total coverage area of the roof:
- Multiply the adjusted width by the original length: Total Area = Adjusted Width * Length = 2664 inches * 2976 inches

4. Determine the size of the plywood sheet:
- Check the common sizes of plywood sheets available. Let's say a standard size is 4 feet by 8 feet, which translates to 48 inches by 96 inches.

5. Calculate the coverage area per plywood sheet:
- Multiply the dimensions of the plywood sheet: 48 inches * 96 inches

6. Determine the number of plywood sheets needed:
- Divide the total coverage area of the roof by the coverage area per sheet: Number of Sheets = Total Area / Coverage Area per Sheet

By following these steps, you can calculate the number of plywood sheets needed to sheath the roof.