Mass per volume density.
Grains per Cubic Millimeter to Carat per Cubic inches Converter — gr/mm3 to ct/in3
Convert Grain per Cubic Millimeter (gr/mm3) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 grain per cubic millimeter = 5,309.319427 carat per cubic inch). See the formula, worked examples, and conversion table.
Grains per Cubic Millimeter to Carat per Cubic inches 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 / 12.20474882.
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 Carat per Cubic inches
Grain per Cubic Millimeter and Carat per Cubic inch 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
carat per cubic inches = grains per cubic millimeter × 5309.3194265
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 inch equals 12.2047488189 base units, so dividing one by the other gives the direct grain per cubic millimeter-to-carat per cubic inch factor of 5309.3194265.
Simple example
1 gr/mm3 × 5309.319427 = 5,309.319427 ct/in3
1 grain per cubic millimeter = 5,309.319427 carat per cubic inches.
Real-world example
1,000 gr/mm3 × 5309.319427 = 5,309,319.427 ct/in3
1,000 grains per cubic millimeter = 5,309,319.427 carat per cubic inches.
Conversion table
| Grain per Cubic Millimeter (gr/mm3) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 gr/mm3 | 530.9319427 ct/in3 |
| 1 gr/mm3 | 5,309.319427 ct/in3 |
| 10 gr/mm3 | 53,093.19427 ct/in3 |
| 100 gr/mm3 | 530,931.9427 ct/in3 |
| 1,000 gr/mm3 | 5,309,319.427 ct/in3 |
| 10,000 gr/mm3 | 53,093,194.27 ct/in3 |
Reverse conversion: Carat per Cubic inch to Grain per Cubic Millimeter
1 ct/in3 × 0.0001883480574 = 0.0001883481 gr/mm3
1 carat per cubic inch = 0.0001883481 grains per cubic millimeter.
grains per cubic millimeter = carat per cubic inches × 0.000188348057382
For a page dedicated to this direction, see Carat per Cubic inch to Grain per Cubic Millimeter.
Understanding the Grain per Cubic Millimeter (gr/mm3)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 grain per cubic millimeter?
1 grain per cubic millimeter equals 5,309.319427 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic millimeter to carat per cubic inch?
Multiply the grain per cubic millimeter value by 5309.319427. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to grain per cubic millimeter?
Use the reverse factor: 1 carat per cubic inch equals 0.0001883481 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 inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the grain per cubic millimeter to carat per cubic inch conversion exact?
Yes. Both grain per cubic millimeter and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 5309.319427 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.