Mass per volume density.
Carats per Cubic Millimeter to Grains per Cubic Centimeter Converter — ct/mm3 to gr/cm3
Convert Carat per Cubic Millimeter (ct/mm3) to Grain per Cubic Centimeter (gr/cm3) using the exact conversion factor (1 carat per cubic millimeter = 3,086.471671 grain per cubic centimeter). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Grains per Cubic Centimeter 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 200000 / 64.79891.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Grains per Cubic Centimeter
Carat per Cubic Millimeter and Grain per Cubic Centimeter 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 centimeter = carats per cubic millimeter × 3086.47167059
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 grain per cubic centimeter equals 64.79891 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-grain per cubic centimeter factor of 3086.47167059.
Simple example
1 ct/mm3 × 3086.471671 = 3,086.471671 gr/cm3
1 carat per cubic millimeter = 3,086.471671 grains per cubic centimeter.
Real-world example
1,000 ct/mm3 × 3086.471671 = 3,086,471.671 gr/cm3
1,000 carats per cubic millimeter = 3,086,471.671 grains per cubic centimeter.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Grain per Cubic Centimeter (gr/cm3) |
|---|---|
| 0.1 ct/mm3 | 308.6471671 gr/cm3 |
| 1 ct/mm3 | 3,086.471671 gr/cm3 |
| 10 ct/mm3 | 30,864.71671 gr/cm3 |
| 100 ct/mm3 | 308,647.1671 gr/cm3 |
| 1,000 ct/mm3 | 3,086,471.671 gr/cm3 |
| 10,000 ct/mm3 | 30,864,716.71 gr/cm3 |
Reverse conversion: Grain per Cubic Centimeter to Carat per Cubic Millimeter
1 gr/cm3 × 0.00032399455 = 0.0003239946 ct/mm3
1 grain per cubic centimeter = 0.0003239946 carats per cubic millimeter.
carats per cubic millimeter = grains per cubic centimeter × 0.00032399455
For a page dedicated to this direction, see Grain per Cubic Centimeter to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Grain per Cubic Centimeter (gr/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic centimeter are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 3,086.471671 grains per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to grain per cubic centimeter?
Multiply the carat per cubic millimeter value by 3086.471671. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic centimeter back to carat per cubic millimeter?
Use the reverse factor: 1 grain per cubic centimeter equals 0.0003239946 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a grain per cubic centimeter?
Grain per Cubic Centimeter (gr/cm3) is a unit of density.
Is the carat per cubic millimeter to grain per cubic centimeter conversion exact?
Yes. Both carat per cubic millimeter and grain per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 3086.471671 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.