The units inch, foot, yard and mile are called Imperial or US Customary units of measure of length and the cube of them are called Imperial or US Customary units of measure of volume.
Conversion between Imperial Units of Measure of Volume
The following are some common conversions for volume.
1 cubic foot = 1728 cubic inches
1 cubic yard = 27 cubic feet
1 US gallon = 231 cubic inches
1 Imperial gallon ≈ 277.42 cubic inches
1 cubic foot ≈ 7.48 US gallons
1 cubic foot ≈ 6.23 US gallons
Note: Not all of the above conversion rates are exact figures. The figures show after the ≈ sign have further infinite decimal digits.
1. To convert from cubic feet to cubic inches, cubic yards to cubic feet, and cubic miles to cubic yards, we use multiplication.
2 cubic feet = 1728 x 2 = 3456 cubic inches since 1 cubic foot = 123 cubic inches.
2. To convert from cubic yards to cubic miles, cubic feet to cubic yards, and cubic inches to cubic feet, we use division.
54 cubic feet = 54 ÷ 27 = 2 cubic yards because 27 cubic feet = 1 cubic yard
Metric Units of Measure of Volume
There is another system for measurement which is called metric system. The units of measuring Volume are derived from units of measure of length, which are millimeter, centimeter, meter and kilometer. Volume units are cubic millimeter, cubic centimeter, cubic meter, cubic kilometer. One can change any unit in the metric system to the others very easily.
Metric Volume Units
1 cubic centimeter (cm3) = 1000 cubic millimeters (mm3)
1 cubic decimeter (dm3) = 1000 cubic centimeter (cm3)
1 cubic meter (m3) = 1000 cubic decimeter (dm3)
1. To convert from cubic meters to cubic decimeter, cubic decimeters to cubic centimeters, and cubic centimeters to cubic millimeters, we use multiplication.
2 cubic meters = 2 x 1000 = 2000 cubic decimeters since 1 cubic meter = 1000 cubic decimeter. (1 dm3 is also known as a Liter)
2. To convert from cubic decimeter to cubic meters, cubic centimeters to cubic decimeters, and cubic millimeters to cubic centimeters, we use division.
4000 cubic centimeter = 4000 ÷ 1000 = 4 cubic decimeters because 1000 cubic centimeter = 1 cubic decimeter.