Mass per volume density.
Carat per Cubic inches to Grain per Cubic inches Converter — ct/in3 to gr/in3
Convert Carat per Cubic inch (ct/in3) to Grain per Cubic inch (gr/in3) using the exact conversion factor (1 carat per cubic inch = 3.086471671 grain per cubic inch). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Grain 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 12.20474882 / 3.954272101.
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 Grain per Cubic inches
Carat per Cubic inch and Grain 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
grain per cubic inches = carat per cubic inches × 3.08647167059
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 inch equals 3.95427210146 base units, so dividing one by the other gives the direct carat per cubic inch-to-grain per cubic inch factor of 3.08647167059.
Simple example
1 ct/in3 × 3.086471671 = 3.086471671 gr/in3
1 carat per cubic inch = 3.086471671 grain per cubic inches.
Real-world example
1,000 ct/in3 × 3.086471671 = 3,086.471671 gr/in3
1,000 carat per cubic inches = 3,086.471671 grain per cubic inches.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Cubic inch (gr/in3) |
|---|---|
| 0.1 ct/in3 | 0.3086471671 gr/in3 |
| 1 ct/in3 | 3.086471671 gr/in3 |
| 10 ct/in3 | 30.86471671 gr/in3 |
| 100 ct/in3 | 308.6471671 gr/in3 |
| 1,000 ct/in3 | 3,086.471671 gr/in3 |
| 10,000 ct/in3 | 30,864.71671 gr/in3 |
Reverse conversion: Grain per Cubic inch to Carat per Cubic inch
3.086471671 gr/in3 × 0.32399455 = 1 ct/in3
3.086471671 grain per cubic inches = 1 carat per cubic inches.
carat per cubic inches = grain per cubic inches × 0.32399455
For a page dedicated to this direction, see Grain per Cubic inch to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Grain per Cubic inch (gr/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grain per cubic inches are in 1 carat per cubic inch?
1 carat per cubic inch equals 3.086471671 grain per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per cubic inch?
Multiply the carat per cubic inch value by 3.086471671. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic inch back to carat per cubic inch?
Use the reverse factor: 1 grain per cubic inch equals 0.32399455 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 inch?
Grain per Cubic inch (gr/in3) is a unit of density.
Is the carat per cubic inch to grain per cubic inch conversion exact?
Yes. Both carat per cubic inch and grain per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 3.086471671 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.