Mass per volume density.
Grain per Cubic inches to Carats per Cubic foot Converter — gr/in3 to ct/ft3
Convert Grain per Cubic inch (gr/in3) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 grain per cubic inch = 559.8625824 carat per cubic foot). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Carats per Cubic foot 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 3.954272101 / 0.007062933344.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Carats per Cubic foot
Grain per Cubic inch and Carat per Cubic foot 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
carats per cubic foot = grain per cubic inches × 559.8625824
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 carat per cubic foot equals 0.0070629333443 base units, so dividing one by the other gives the direct grain per cubic inch-to-carat per cubic foot factor of 559.8625824.
Simple example
1 gr/in3 × 559.8625824 = 559.8625824 ct/ft3
1 grain per cubic inch = 559.8625824 carats per cubic foot.
Real-world example
1,000 gr/in3 × 559.8625824 = 559,862.5824 ct/ft3
1,000 grain per cubic inches = 559,862.5824 carats per cubic foot.
Conversion table
| Grain per Cubic inch (gr/in3) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 gr/in3 | 55.98625824 ct/ft3 |
| 1 gr/in3 | 559.8625824 ct/ft3 |
| 10 gr/in3 | 5,598.625824 ct/ft3 |
| 100 gr/in3 | 55,986.25824 ct/ft3 |
| 1,000 gr/in3 | 559,862.5824 ct/ft3 |
| 10,000 gr/in3 | 5,598,625.824 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Grain per Cubic inch
559.8625824 ct/ft3 × 0.001786152587 = 1 gr/in3
559.8625824 carats per cubic foot = 1 grain per cubic inch.
grain per cubic inches = carats per cubic foot × 0.00178615258715
For a page dedicated to this direction, see Carat per Cubic foot to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic foot are in 1 grain per cubic inch?
1 grain per cubic inch equals 559.8625824 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to carat per cubic foot?
Multiply the grain per cubic inch value by 559.8625824. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to grain per cubic inch?
Use the reverse factor: 1 carat per cubic foot equals 0.0017861526 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
Is the grain per cubic inch to carat per cubic foot conversion exact?
Yes. Both grain per cubic inch and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 559.8625824 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.