To convert cubic feet to cubic yards, by what number do you divide?

To convert cubic feet to cubic yards, by what number do you divide?

• A. 27
• B. 9
• C. 3
• D. 12

Answer: (A)

Converting cubic feet to cubic yards relies on cubing the linear conversion factor between feet and yards. Since 1 yard equals 3 feet, a cubic yard is 3 feet by 3 feet by 3 feet, which is 27 cubic feet. Therefore, to turn ft^3 into yd^3 you divide by 27. For example, 54 ft^3 ÷ 27 = 2 yd^3. The other numbers come from different kinds of conversions: 9 is for square feet to square yards, 3 is for linear feet to yards, and 12 is inches per foot—these don’t apply to volume conversions.

Converting cubic feet to cubic yards relies on cubing the linear conversion factor between feet and yards. Since 1 yard equals 3 feet, a cubic yard is 3 feet by 3 feet by 3 feet, which is 27 cubic feet. Therefore, to turn ft^3 into yd^3 you divide by 27. For example, 54 ft^3 ÷ 27 = 2 yd^3. The other numbers come from different kinds of conversions: 9 is for square feet to square yards, 3 is for linear feet to yards, and 12 is inches per foot—these don’t apply to volume conversions.