To convert cubic inches to cubic yards, what is necessary?

• A. Divide by 36
• B. Multiply by 27
• C. Divide by 1728
• D. Multiply by 12

Answer: (C)

To convert cubic inches to cubic yards, dividing by 1728 is the correct method because of the relationship between the units.

First, it is important to understand the dimensions involved in these conversions. A cubic yard is defined as a volume that is equal to a cube with sides measuring one yard each. Since one yard is equal to 36 inches, a cubic yard is equal to:

1 yard × 1 yard × 1 yard = 36 inches × 36 inches × 36 inches = 36³ cubic inches = 46656 cubic inches.

Therefore, to convert cubic inches to cubic yards, you take the total number of cubic inches you have and divide that by the number of cubic inches in one cubic yard, which is 1728 (366 = 36 × 36 × 36 = 1728).

This conversion is a straightforward mathematical operation, ensuring that you properly transition from a smaller unit of measurement (cubic inches) to a larger one (cubic yards).