Mass per volume density.
Grains per Cubic Millimeter to Carats per Cubic Centimeter Converter — gr/mm3 to ct/cm3
Convert Grain per Cubic Millimeter (gr/mm3) to Carat per Cubic Centimeter (ct/cm3) using the exact conversion factor (1 grain per cubic millimeter = 323.99455 carat per cubic centimeter). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Carats 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 64798.91 / 200.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Millimeter to Carats per Cubic Centimeter
Grain per Cubic Millimeter and Carat 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
carats per cubic centimeter = grains per cubic millimeter × 323.99455
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic millimeter equals 64798.91 base units, and 1 carat per cubic centimeter equals 200 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-carat per cubic centimeter factor of 323.99455.
Simple example
1 gr/mm3 × 323.99455 = 323.99455 ct/cm3
1 grain per cubic millimeter = 323.99455 carats per cubic centimeter.
Real-world example
1,000 gr/mm3 × 323.99455 = 323,994.55 ct/cm3
1,000 grains per cubic millimeter = 323,994.55 carats per cubic centimeter.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Carat per Cubic Centimeter (ct/cm3) |
|---|---|
| 0.1 gr/mm3 | 32.399455 ct/cm3 |
| 1 gr/mm3 | 323.99455 ct/cm3 |
| 10 gr/mm3 | 3,239.9455 ct/cm3 |
| 100 gr/mm3 | 32,399.455 ct/cm3 |
| 1,000 gr/mm3 | 323,994.55 ct/cm3 |
| 10,000 gr/mm3 | 3,239,945.5 ct/cm3 |
Reverse conversion: Carat per Cubic Centimeter to Grain per Cubic Millimeter
323.99455 ct/cm3 × 0.003086471671 = 1 gr/mm3
323.99455 carats per cubic centimeter = 1 grain per cubic millimeter.
grains per cubic millimeter = carats per cubic centimeter × 0.00308647167059
For a page dedicated to this direction, see Carat per Cubic Centimeter to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Carat per Cubic Centimeter (ct/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic centimeter are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 323.99455 carats per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to carat per cubic centimeter?
Multiply the grain per cubic millimeter value by 323.99455. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic centimeter back to grain per cubic millimeter?
Use the reverse factor: 1 carat per cubic centimeter equals 0.0030864717 grains per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic millimeter?
Grain per Cubic Millimeter (gr/mm3) is a unit of density.
What is a carat per cubic centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
Is the grain per cubic millimeter to carat per cubic centimeter conversion exact?
Yes. Both grain per cubic millimeter and carat per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 323.99455 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.