Mass per volume density.
Grain per Cubic inches to Carats per Cubic Centimeter Converter — gr/in3 to ct/cm3
Convert Grain per Cubic inch (gr/in3) to Carat per Cubic Centimeter (ct/cm3) using the exact conversion factor (1 grain per cubic inch = 0.0197713605 carat per cubic centimeter). See the formula, worked examples, and conversion table.
Grain per Cubic inches 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 3.954272101 / 200.
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 Centimeter
Grain per Cubic inch 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 = grain per cubic inches × 0.0197713605073
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 centimeter equals 200 base units, so dividing one by the other gives the direct grain per cubic inch-to-carat per cubic centimeter factor of 0.0197713605073.
Simple example
1 gr/in3 × 0.01977136051 = 0.0197713605 ct/cm3
1 grain per cubic inch = 0.0197713605 carats per cubic centimeter.
Real-world example
1,000 gr/in3 × 0.01977136051 = 19.77136051 ct/cm3
1,000 grain per cubic inches = 19.77136051 carats per cubic centimeter.
Conversion table
| Grain per Cubic inch (gr/in3) | Carat per Cubic Centimeter (ct/cm3) |
|---|---|
| 0.1 gr/in3 | 0.0019771361 ct/cm3 |
| 1 gr/in3 | 0.0197713605 ct/cm3 |
| 10 gr/in3 | 0.1977136051 ct/cm3 |
| 100 gr/in3 | 1.977136051 ct/cm3 |
| 1,000 gr/in3 | 19.77136051 ct/cm3 |
| 10,000 gr/in3 | 197.7136051 ct/cm3 |
Reverse conversion: Carat per Cubic Centimeter to Grain per Cubic inch
0.0197713605 ct/cm3 × 50.5782088 = 0.9999999996 gr/in3
0.0197713605 carats per cubic centimeter = 0.9999999996 grain per cubic inches.
grain per cubic inches = carats per cubic centimeter × 50.5782088001
For a page dedicated to this direction, see Carat per Cubic Centimeter to Grain per Cubic inch.
Understanding the Grain per Cubic inch (gr/in3)
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 inch?
1 grain per cubic inch equals 0.0197713605 carats per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic inch to carat per cubic centimeter?
Multiply the grain per cubic inch value by 0.01977136051. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic centimeter back to grain per cubic inch?
Use the reverse factor: 1 carat per cubic centimeter equals 50.5782088 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 centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
Is the grain per cubic inch to carat per cubic centimeter conversion exact?
Yes. Both grain per cubic inch and carat per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.01977136051 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.