To convert cubic feet to cubic yards, divide by 27. What is the factor that converts cubic feet to cubic yards?

To convert cubic feet to cubic yards, divide by 27. What is the factor that converts cubic feet to cubic yards?

• A. 27
• B. 9
• C. 3
• D. 81

Answer: (A)

When converting volume units, know how many of the smaller units fit into the larger unit. A cubic yard is 3 feet by 3 feet by 3 feet, which is 3 × 3 × 3 = 27 cubic feet. Therefore, 27 cubic feet equal 1 cubic yard. To convert from cubic feet to cubic yards, you divide by 27. The divisor to use is 27, which is why that number is the correct factor. (If you prefer a multiplier, you’d multiply by 1/27, but since the question asks for the factor to divide by, 27 is the appropriate choice.) For example, 54 ft^3 ÷ 27 = 2 yd^3.

When converting volume units, know how many of the smaller units fit into the larger unit. A cubic yard is 3 feet by 3 feet by 3 feet, which is 3 × 3 × 3 = 27 cubic feet. Therefore, 27 cubic feet equal 1 cubic yard. To convert from cubic feet to cubic yards, you divide by 27. The divisor to use is 27, which is why that number is the correct factor. (If you prefer a multiplier, you’d multiply by 1/27, but since the question asks for the factor to divide by, 27 is the appropriate choice.) For example, 54 ft^3 ÷ 27 = 2 yd^3.