Mass per volume density.
Carats per Cubic foot to Carat per Cubic inches Converter — ct/ft3 to ct/in3
Convert Carat per Cubic foot (ct/ft3) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 carat per cubic foot = 0.0005787037 carat per cubic inch). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Carat per Cubic inches converter
Converter
Density Converter
Convert thousands of mass-per-volume density combinations for science, engineering, agriculture, and fluids.
Context values
Some unit families need one extra value for a physically accurate result.
Mass per volume density.
Result = input x 0.007062933344 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic foot to Carat per Cubic inches
Carat per Cubic foot and Carat per Cubic inch both measure density — mass per unit volume — a property used to identify materials, check manufacturing quality, and predict whether something floats or sinks. As a fixed reference point, water has a density of exactly 1000 kg/m³ (1 g/cm³, 1 g/mL) at its temperature of maximum density, which is why many density figures in science and engineering are quoted relative to water. Both are mass per volume density units.
Formula
carat per cubic inches = carats per cubic foot × 0.000578703703704
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic foot equals 0.0070629333443 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct carat per cubic foot-to-carat per cubic inch factor of 0.000578703703704.
Simple example
1 ct/ft3 × 0.0005787037037 = 0.0005787037 ct/in3
1 carat per cubic foot = 0.0005787037 carat per cubic inches.
Real-world example
1,000 ct/ft3 × 0.0005787037037 = 0.5787037037 ct/in3
1,000 carats per cubic foot = 0.5787037037 carat per cubic inches.
Conversion table
| Carat per Cubic foot (ct/ft3) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 ct/ft3 | 0.0000578704 ct/in3 |
| 1 ct/ft3 | 0.0005787037 ct/in3 |
| 10 ct/ft3 | 0.005787037 ct/in3 |
| 100 ct/ft3 | 0.0578703704 ct/in3 |
| 1,000 ct/ft3 | 0.5787037037 ct/in3 |
| 10,000 ct/ft3 | 5.787037037 ct/in3 |
Reverse conversion: Carat per Cubic inch to Carat per Cubic foot
0.0005787037 ct/in3 × 1728 = 0.9999999936 ct/ft3
0.0005787037 carat per cubic inches = 0.9999999936 carats per cubic foot.
carats per cubic foot = carat per cubic inches × 1728
For a page dedicated to this direction, see Carat per Cubic inch to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.0005787037 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to carat per cubic inch?
Multiply the carat per cubic foot value by 0.0005787037037. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to carat per cubic foot?
Use the reverse factor: 1 carat per cubic inch equals 1,728 carats per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the carat per cubic foot to carat per cubic inch conversion exact?
Yes. Both carat per cubic foot and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.0005787037037 used above is exact to as many digits as you choose to display.
What's the difference between density and mass concentration?
Density is the mass of a pure substance or material per unit volume. Mass concentration is the mass of one component — like a dissolved solute — within a mixture's total volume. The two use the same kind of units but describe different physical situations.