To convert a volume from cubic feet to cubic yards, by what factor do you divide?

To convert a volume from cubic feet to cubic yards, by what factor do you divide?

• A. 27
• B. 9
• C. 3
• D. 12

Answer: (A)

To convert a volume from cubic feet to cubic yards, the correct approach involves understanding the relationship between these two units of measurement. One cubic yard is defined as the volume of a cube with sides measuring one yard in length. Since there are 3 feet in a yard, a cubic yard can be calculated as: 1 cubic yard = (3 feet) x (3 feet) x (3 feet) = 27 cubic feet. Consequently, to convert from cubic feet to cubic yards, you divide the number of cubic feet by 27. This division effectively translates the volume from a smaller unit (cubic feet) to a larger unit (cubic yards), allowing you to express the same volume in a different measurement scale. Therefore, dividing by 27 is necessary to convert cubic feet into cubic yards accurately.

To convert a volume from cubic feet to cubic yards, the correct approach involves understanding the relationship between these two units of measurement.

One cubic yard is defined as the volume of a cube with sides measuring one yard in length. Since there are 3 feet in a yard, a cubic yard can be calculated as:

1 cubic yard = (3 feet) x (3 feet) x (3 feet) = 27 cubic feet.

Consequently, to convert from cubic feet to cubic yards, you divide the number of cubic feet by 27. This division effectively translates the volume from a smaller unit (cubic feet) to a larger unit (cubic yards), allowing you to express the same volume in a different measurement scale.

Therefore, dividing by 27 is necessary to convert cubic feet into cubic yards accurately.