Mass per volume density.
Carats per Cubic Centimeter to Grains per Cubic Millimeter Converter — ct/cm3 to gr/mm3
Convert Carat per Cubic Centimeter (ct/cm3) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 carat per cubic centimeter = 0.0030864717 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Carats per Cubic Centimeter to Grains per Cubic Millimeter 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 200 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Centimeter to Grains per Cubic Millimeter
Carat per Cubic Centimeter and Grain per Cubic Millimeter 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 millimeter = carats per cubic centimeter × 0.00308647167059
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic centimeter equals 200 base units, and 1 grain per cubic millimeter equals 64798.91 base units, so dividing one by the other gives the direct carat per cubic centimeter-to-grain per cubic millimeter factor of 0.00308647167059.
Simple example
1 ct/cm3 × 0.003086471671 = 0.0030864717 gr/mm3
1 carat per cubic centimeter = 0.0030864717 grains per cubic millimeter.
Real-world example
1,000 ct/cm3 × 0.003086471671 = 3.086471671 gr/mm3
1,000 carats per cubic centimeter = 3.086471671 grains per cubic millimeter.
Conversion table
| Carat per Cubic Centimeter (ct/cm3) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 ct/cm3 | 0.0003086472 gr/mm3 |
| 1 ct/cm3 | 0.0030864717 gr/mm3 |
| 10 ct/cm3 | 0.0308647167 gr/mm3 |
| 100 ct/cm3 | 0.3086471671 gr/mm3 |
| 1,000 ct/cm3 | 3.086471671 gr/mm3 |
| 10,000 ct/cm3 | 30.86471671 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Carat per Cubic Centimeter
0.0030864717 gr/mm3 × 323.99455 = 1.00000001 ct/cm3
0.0030864717 grains per cubic millimeter = 1.00000001 carats per cubic centimeter.
carats per cubic centimeter = grains per cubic millimeter × 323.99455
For a page dedicated to this direction, see Grain per Cubic Millimeter to Carat per Cubic Centimeter.
Understanding the Carat per Cubic Centimeter (ct/cm3)
Mass per volume density.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic millimeter are in 1 carat per cubic centimeter?
1 carat per cubic centimeter equals 0.0030864717 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic centimeter to grain per cubic millimeter?
Multiply the carat per cubic centimeter value by 0.003086471671. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to carat per cubic centimeter?
Use the reverse factor: 1 grain per cubic millimeter equals 323.99455 carats per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
Is the carat per cubic centimeter to grain per cubic millimeter conversion exact?
Yes. Both carat per cubic centimeter and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.003086471671 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.