Mass per volume density.
Carats per Cubic foot to Grains per Cubic foot Converter — ct/ft3 to gr/ft3
Convert Carat per Cubic foot (ct/ft3) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 carat per cubic foot = 3.086471671 grain per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Grains 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 0.007062933344 / 0.002288351911.
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 Grains per Cubic foot
Carat per Cubic foot and Grain 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
grains per cubic foot = carats per cubic foot × 3.08647167059
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 grain per cubic foot equals 0.00228835191057 base units, so dividing one by the other gives the direct carat per cubic foot-to-grain per cubic foot factor of 3.08647167059.
Simple example
1 ct/ft3 × 3.086471671 = 3.086471671 gr/ft3
1 carat per cubic foot = 3.086471671 grains per cubic foot.
Real-world example
1,000 ct/ft3 × 3.086471671 = 3,086.471671 gr/ft3
1,000 carats per cubic foot = 3,086.471671 grains per cubic foot.
Conversion table
| Carat per Cubic foot (ct/ft3) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 ct/ft3 | 0.3086471671 gr/ft3 |
| 1 ct/ft3 | 3.086471671 gr/ft3 |
| 10 ct/ft3 | 30.86471671 gr/ft3 |
| 100 ct/ft3 | 308.6471671 gr/ft3 |
| 1,000 ct/ft3 | 3,086.471671 gr/ft3 |
| 10,000 ct/ft3 | 30,864.71671 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Carat per Cubic foot
3.086471671 gr/ft3 × 0.32399455 = 1 ct/ft3
3.086471671 grains per cubic foot = 1 carats per cubic foot.
carats per cubic foot = grains per cubic foot × 0.32399455
For a page dedicated to this direction, see Grain per Cubic foot to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Grain per Cubic foot (gr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic foot are in 1 carat per cubic foot?
1 carat per cubic foot equals 3.086471671 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to grain per cubic foot?
Multiply the carat per cubic foot value by 3.086471671. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to carat per cubic foot?
Use the reverse factor: 1 grain per cubic foot equals 0.32399455 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 grain per cubic foot?
Grain per Cubic foot (gr/ft3) is a unit of density.
Is the carat per cubic foot to grain per cubic foot conversion exact?
Yes. Both carat per cubic foot and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 3.086471671 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.