Cubic feet to Cubic inches Converter — ft3 to in3

Convert Cubic foot (ft3) to Cubic inch (in3) using the exact conversion factor (1 cubic foot = 1,728 cubic inch). See the formula, worked examples, conversion table, history, and common uses.

Cubic feet to Cubic inches converter

Converter

Volume Converter

Convert metric, US customary, imperial, cooking, dry, and industrial volume units.

Result 1 cubic foot = 1,728 cubic inch
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From definition

A cubic foot is exactly 0.028316846592 cubic meters.

To definition

A cubic inch is the volume of a one-inch cube.

Formula

Result = input x 0.02831684659 / 1.6387064e-5.

Volume uses the cubic meter as the base unit.

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About Converting Cubic feet to Cubic inches

Cubic foot and Cubic inch appear side by side at fuel pumps and on beverage labels, since the US measures liquids in gallons while most of the world uses liters. Cubic foot is most often used for us natural gas utility billing (often in hundreds or thousands of cubic feet).

Formula

cubic inches = cubic feet × 1728

This factor comes from each unit's defined relationship to the category's base unit: 1 cubic foot equals 0.028316846592 base units, and 1 cubic inch equals 0.000016387064 base units, so dividing one by the other gives the direct cubic foot-to-cubic inch factor of 1728.

Simple example

1 ft3 × 1728 = 1,728 in3

1 cubic foot = 1,728 cubic inches.

Real-world example

10 ft3 × 1728 = 17,280 in3

10 cubic feet = 17,280 cubic inches.

Conversion table

Cubic foot (ft3)Cubic inch (in3)
1 ft31,728 in3
5 ft38,640 in3
10 ft317,280 in3
25 ft343,200 in3
50 ft386,400 in3
100 ft3172,800 in3

Reverse conversion: Cubic inch to Cubic foot

1 in3 × 0.0005787037037 = 0.0005787037 ft3

1 cubic inch = 0.0005787037 cubic feet.

cubic feet = cubic inches × 0.000578703703704

For a page dedicated to this direction, see Cubic inch to Cubic foot.

Understanding the Cubic foot

Cubic foot (ft3) measures volume. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. It is classified as a US/imperial customary unit.

Where it's used: United States (construction, HVAC, natural gas billing)

Uses of the Cubic foot today

  • US natural gas utility billing (often in hundreds or thousands of cubic feet)
  • HVAC airflow and building-volume calculations
  • Lumber, concrete, and construction material estimation in the US

History of the Cubic foot

The cubic foot, like the square foot, follows from the standardized foot (exactly 0.3048 m since the 1959 international agreement) rather than having a separate historical definition.

Historical origin. Cubic foot was not the invention of a single named person; it developed through the process described above.

Understanding the Cubic inch (in3)

A cubic inch is the volume of a one-inch cube.

Cubic foot — sources

  • NIST — International yard and pound (1959) — Basis for the modern foot and its derived volume unit.
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Frequently asked questions

How many cubic inches are in 1 cubic foot?

1 cubic foot equals 1,728 cubic inches, using the exact defined conversion factor rather than an estimate.

How do I convert cubic foot to cubic inch?

Multiply the cubic foot value by 1728. The converter above does this instantly to whatever precision you set.

How do I convert cubic inch back to cubic foot?

Use the reverse factor: 1 cubic inch equals 0.0005787037 cubic feet. You can also use the swap control in the converter above to flip the direction instantly.

What is a cubic foot?

Cubic foot (ft3) measures volume. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. It is classified as a US/imperial customary unit.

What is a cubic inch?

Cubic inch (in3) is a unit of volume.

Is the cubic foot to cubic inch conversion exact?

Yes. A cubic foot is exactly 0.028316846592 cubic meters, derived from the 1959 international foot. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.

Where is the cubic foot still used today?

United States (construction, HVAC, natural gas billing)