Mass per volume density.
Grains per Cubic Centimeter to Carats per Cubic foot Converter — gr/cm3 to ct/ft3
Convert Grain per Cubic Centimeter (gr/cm3) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 grain per cubic centimeter = 9,174.503969 carat per cubic foot). See the formula, worked examples, and conversion table.
Grains per Cubic Centimeter 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 64.79891 / 0.007062933344.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Centimeter to Carats per Cubic foot
Grain per Cubic Centimeter 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 = grains per cubic centimeter × 9174.50396899
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic centimeter equals 64.79891 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 centimeter-to-carat per cubic foot factor of 9174.50396899.
Simple example
1 gr/cm3 × 9174.503969 = 9,174.503969 ct/ft3
1 grain per cubic centimeter = 9,174.503969 carats per cubic foot.
Real-world example
1,000 gr/cm3 × 9174.503969 = 9,174,503.969 ct/ft3
1,000 grains per cubic centimeter = 9,174,503.969 carats per cubic foot.
Conversion table
| Grain per Cubic Centimeter (gr/cm3) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 gr/cm3 | 917.4503969 ct/ft3 |
| 1 gr/cm3 | 9,174.503969 ct/ft3 |
| 10 gr/cm3 | 91,745.03969 ct/ft3 |
| 100 gr/cm3 | 917,450.3969 ct/ft3 |
| 1,000 gr/cm3 | 9,174,503.969 ct/ft3 |
| 10,000 gr/cm3 | 91,745,039.69 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Grain per Cubic Centimeter
1 ct/ft3 × 0.0001089977184 = 0.0001089977 gr/cm3
1 carat per cubic foot = 0.0001089977 grains per cubic centimeter.
grains per cubic centimeter = carats per cubic foot × 0.000108997718392
For a page dedicated to this direction, see Carat per Cubic foot to Grain per Cubic Centimeter.
Understanding the Grain per Cubic Centimeter (gr/cm3)
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 centimeter?
1 grain per cubic centimeter equals 9,174.503969 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic centimeter to carat per cubic foot?
Multiply the grain per cubic centimeter value by 9174.503969. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to grain per cubic centimeter?
Use the reverse factor: 1 carat per cubic foot equals 0.0001089977 grains per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic centimeter?
Grain per Cubic Centimeter (gr/cm3) 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 centimeter to carat per cubic foot conversion exact?
Yes. Both grain per cubic centimeter and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 9174.503969 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.