How to convert cubic feet to cubic inches
To convert a measurement in cubic feet to cubic inches, multiply the value by 1,728. The conversion factor comes from the relationship between both units and the liter.
For example, to convert 5 ft³ to cubic inches: 5 × 1,728 = 8,640 in³.
What is a cubic foot?
A cubic foot is an imperial and US customary unit of volume equal to the space of a cube one foot on each side, about 28.32 liters. The cubic foot is the standard large-volume unit in the US and UK for appliances, storage, and natural gas. Refrigerators and freezers are still sold by their cubic-foot capacity in North America.
Common uses of cubic feet include: Refrigerator, freezer, and appliance capacity; Natural gas metering in the US; Storage unit and moving container volume; Airflow ratings (cubic feet per minute).
What is a cubic inch?
A cubic inch is an imperial and US customary unit of volume equal to the space of a cube one inch on each side, exactly 16.387064 milliliters. The cubic inch was the traditional way to express American engine displacement (e.g. a '350 cubic inch' V8) before the metric liter became common. It remains in use in US manufacturing and packaging.
Common uses of cubic inches include: Classic and American V8 engine displacement; Packaging and box volume in the US; Woodworking and material volume; Compressor and pump specifications.
Cubic Feet to cubic inches worked examples
Here are some common values converted:
1 ft³ = 1,728 in³ 5 ft³ = 8,640 in³ 10 ft³ = 17,280 in³ 50 ft³ = 86,400 in³ 100 ft³ = 172,800 in³
Frequently asked questions
How many cubic inches are in one cubic foot?
One cubic foot (ft³) equals 1,728 cubic inches (in³). Multiply any value in cubic feet by 1,728 to convert to cubic inches.
How do I convert cubic feet to cubic inches?
Multiply the value in cubic feet by 1,728. For example, 5 ft³ × 1,728 = 8,640 in³.
How do I convert cubic inches to cubic feet?
Multiply the value in cubic inches by 0.000578703704, or divide by 1,728. Use the swap button on the converter above to reverse the direction.
Is the cubic foot to cubic inch conversion exact?
Conversions between metric volumes are exact by definition. US and imperial volumes are defined exactly relative to the liter, so these factors are exact.
What is the formula for cubic feet to cubic inches?
The formula is: in³ = ft³ × 1,728. This comes from the definition of both units relative to the liter.