Mass per volume density.
Carat per Cubic inches to Grains per Cubic Millimeter Converter — ct/in3 to gr/mm3
Convert Carat per Cubic inch (ct/in3) to Grain per Cubic Millimeter (gr/mm3) using the exact conversion factor (1 carat per cubic inch = 0.0001883481 grain per cubic millimeter). See the formula, worked examples, and conversion table.
Carat per Cubic inches 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 12.20474882 / 64798.91.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Grains per Cubic Millimeter
Carat per Cubic inch 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 = carat per cubic inches × 0.000188348057382
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 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 inch-to-grain per cubic millimeter factor of 0.000188348057382.
Simple example
1 ct/in3 × 0.0001883480574 = 0.0001883481 gr/mm3
1 carat per cubic inch = 0.0001883481 grains per cubic millimeter.
Real-world example
1,000 ct/in3 × 0.0001883480574 = 0.1883480574 gr/mm3
1,000 carat per cubic inches = 0.1883480574 grains per cubic millimeter.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Cubic Millimeter (gr/mm3) |
|---|---|
| 0.1 ct/in3 | 0.0000188348 gr/mm3 |
| 1 ct/in3 | 0.0001883481 gr/mm3 |
| 10 ct/in3 | 0.0018834806 gr/mm3 |
| 100 ct/in3 | 0.0188348057 gr/mm3 |
| 1,000 ct/in3 | 0.1883480574 gr/mm3 |
| 10,000 ct/in3 | 1.883480574 gr/mm3 |
Reverse conversion: Grain per Cubic Millimeter to Carat per Cubic inch
0.0001883481 gr/mm3 × 5309.319427 = 1.000000226 ct/in3
0.0001883481 grains per cubic millimeter = 1.000000226 carat per cubic inches.
carat per cubic inches = grains per cubic millimeter × 5309.3194265
For a page dedicated to this direction, see Grain per Cubic Millimeter to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
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 inch?
1 carat per cubic inch equals 0.0001883481 grains per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per cubic millimeter?
Multiply the carat per cubic inch value by 0.0001883480574. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic millimeter back to carat per cubic inch?
Use the reverse factor: 1 grain per cubic millimeter equals 5,309.319427 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) 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 inch to grain per cubic millimeter conversion exact?
Yes. Both carat per cubic inch and grain per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.0001883480574 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.