Mass per volume density.
Carat per Cubic inches to Grains per Cubic Meter Converter — ct/in3 to gr/m3
Convert Carat per Cubic inch (ct/in3) to Grain per Cubic Meter (gr/m3) using the exact conversion factor (1 carat per cubic inch = 188,348.0574 grain per cubic meter). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Grains per Cubic Meter 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 / 6.479891e-5.
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 Meter
Carat per Cubic inch and Grain per Cubic Meter 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 meter = carat per cubic inches × 188348.057382
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 meter equals 0.00006479891 base units, so dividing one by the other gives the direct carat per cubic inch-to-grain per cubic meter factor of 188348.057382.
Simple example
1 ct/in3 × 188348.0574 = 188,348.0574 gr/m3
1 carat per cubic inch = 188,348.0574 grains per cubic meter.
Real-world example
1,000 ct/in3 × 188348.0574 = 188,348,057.4 gr/m3
1,000 carat per cubic inches = 188,348,057.4 grains per cubic meter.
Conversion table
| Carat per Cubic inch (ct/in3) | Grain per Cubic Meter (gr/m3) |
|---|---|
| 0.1 ct/in3 | 18,834.80574 gr/m3 |
| 1 ct/in3 | 188,348.0574 gr/m3 |
| 10 ct/in3 | 1,883,480.574 gr/m3 |
| 100 ct/in3 | 18,834,805.74 gr/m3 |
| 1,000 ct/in3 | 188,348,057.4 gr/m3 |
| 10,000 ct/in3 | 1,883,480,574 gr/m3 |
Reverse conversion: Grain per Cubic Meter to Carat per Cubic inch
1 gr/m3 × 0.000005309319427 = 0.0000053093 ct/in3
1 grain per cubic meter = 0.0000053093 carat per cubic inches.
carat per cubic inches = grains per cubic meter × 0.0000053093194265
For a page dedicated to this direction, see Grain per Cubic Meter to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Grain per Cubic Meter (gr/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic meter are in 1 carat per cubic inch?
1 carat per cubic inch equals 188,348.0574 grains per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to grain per cubic meter?
Multiply the carat per cubic inch value by 188348.0574. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic meter back to carat per cubic inch?
Use the reverse factor: 1 grain per cubic meter equals 0.0000053093 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 meter?
Grain per Cubic Meter (gr/m3) is a unit of density.
Is the carat per cubic inch to grain per cubic meter conversion exact?
Yes. Both carat per cubic inch and grain per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 188348.0574 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.