Mass per volume density.
Grain per Cubic inches to Carats per Cubic Millimeter Converter — gr/in3 to ct/mm3
Convert Grain per Cubic inch (gr/in3) to Carat per Cubic Millimeter (ct/mm3) using the exact conversion factor (1 grain per cubic inch = 0.0000197714 carat per cubic millimeter). See the formula, worked examples, and conversion table.
Grain per Cubic inches to Carats 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 3.954272101 / 200000.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grain per Cubic inches to Carats per Cubic Millimeter
Grain per Cubic inch and Carat 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
carats per cubic millimeter = grain per cubic inches × 0.0000197713605073
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic inch equals 3.95427210146 base units, and 1 carat per cubic millimeter equals 200000 base units, so dividing one by the other gives the direct grain per cubic inch-to-carat per cubic millimeter factor of 0.0000197713605073.
Simple example
1 gr/in3 × 0.00001977136051 = 0.0000197714 ct/mm3
1 grain per cubic inch = 0.0000197714 carats per cubic millimeter.
Real-world example
1,000 gr/in3 × 0.00001977136051 = 0.0197713605 ct/mm3
1,000 grain per cubic inches = 0.0197713605 carats per cubic millimeter.
Conversion table
| Grain per Cubic inch (gr/in3) | Carat per Cubic Millimeter (ct/mm3) |
|---|---|
| 0.1 gr/in3 | 0.0000019771 ct/mm3 |
| 1 gr/in3 | 0.0000197714 ct/mm3 |
| 10 gr/in3 | 0.0001977136 ct/mm3 |
| 100 gr/in3 | 0.0019771361 ct/mm3 |
| 1,000 gr/in3 | 0.0197713605 ct/mm3 |
| 10,000 gr/in3 | 0.1977136051 ct/mm3 |
Reverse conversion: Carat per Cubic Millimeter to Grain per Cubic inch
0.0000197714 ct/mm3 × 50578.2088 = 1.000001997 gr/in3
0.0000197714 carats per cubic millimeter = 1.000001997 grain per cubic inches.
grain per cubic inches = carats per cubic millimeter × 50578.2088001
For a page dedicated to this direction, see Carat per Cubic Millimeter to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic millimeter are in 1 grain per cubic inch?
1 grain per cubic inch equals 0.0000197714 carats per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to carat per cubic millimeter?
Multiply the grain per cubic inch value by 0.00001977136051. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic millimeter back to grain per cubic inch?
Use the reverse factor: 1 carat per cubic millimeter equals 50,578.2088 grain per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic inch?
Grain per Cubic inch (gr/in3) is a unit of density.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
Is the grain per cubic inch to carat per cubic millimeter conversion exact?
Yes. Both grain per cubic inch and carat per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.00001977136051 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.