Final answer:
To cover the gable ends of the 24x24 gable entry garage with a 6/12 roof pitch, 5 sheets of OSB would be required.
Step-by-step explanation:
To calculate how many sheets of OSB are required to cover the gable ends of the garage, we need to determine the area of the gable ends first. The formula for the area of a triangle is A = (1/2) * base * height. In this case, the base is the width of the gable entry garage, which is 24 feet, and the height is the roof pitch. A 6/12 roof pitch means that for every 12 feet of horizontal run, the roof rises 6 feet. So, the height of the gable end triangle can be calculated as 24 * (6/12) = 12 feet. Thus, the area of one gable end is (1/2) * 24 * 12 = 144 square feet.
The next step is to determine the area of a single sheet of OSB. Standard OSB sheets are typically 4 feet by 8 feet, which gives an area of 32 square feet.
Finally, we can calculate the number of sheets required by dividing the total area of the gable ends by the area of a single sheet: 144 / 32 = 4.5. Since we can't have half sheets, we need to round up, so a total of 5 sheets of OSB would be required to cover the gable ends of the garage.