Mass per volume density.
Carats per Cubic Millimeter to Grains per Gallon Converter — ct/mm3 to gr/gal
Convert Carat per Cubic Millimeter (ct/mm3) to Grain per Gallon (gr/gal) using the exact conversion factor (1 carat per cubic millimeter = 11,683,566.23 grain per gallon). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Grains per Gallon 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 200000 / 0.01711806105.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Grains per Gallon
Carat per Cubic Millimeter and Grain per Gallon 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 gallon = carats per cubic millimeter × 11683566.2328
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 grain per gallon equals 0.0171180610453 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-grain per gallon factor of 11683566.2328.
Simple example
1 ct/mm3 × 11683566.23 = 11,683,566.23 gr/gal
1 carat per cubic millimeter = 11,683,566.23 grains per gallon.
Real-world example
1,000 ct/mm3 × 11683566.23 = 11,683,566,230 gr/gal
1,000 carats per cubic millimeter = 11,683,566,230 grains per gallon.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Grain per Gallon (gr/gal) |
|---|---|
| 0.1 ct/mm3 | 1,168,356.623 gr/gal |
| 1 ct/mm3 | 11,683,566.23 gr/gal |
| 10 ct/mm3 | 116,835,662.3 gr/gal |
| 100 ct/mm3 | 1,168,356,623 gr/gal |
| 1,000 ct/mm3 | 11,683,566,230 gr/gal |
| 10,000 ct/mm3 | 116,835,662,300 gr/gal |
Reverse conversion: Grain per Gallon to Carat per Cubic Millimeter
1 gr/gal × 8.559031e-8 = 8.559031e-8 ct/mm3
1 grain per gallon = 8.559031e-8 carats per cubic millimeter.
carats per cubic millimeter = grains per gallon × 8.559031e-8
For a page dedicated to this direction, see Grain per Gallon to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Grain per Gallon (gr/gal)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per gallon are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 11,683,566.23 grains per gallon, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to grain per gallon?
Multiply the carat per cubic millimeter value by 11683566.23. The converter above does this instantly to whatever precision you set.
How do I convert grain per gallon back to carat per cubic millimeter?
Use the reverse factor: 1 grain per gallon equals 8.559031e-8 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a grain per gallon?
Grain per Gallon (gr/gal) is a unit of density.
Is the carat per cubic millimeter to grain per gallon conversion exact?
Yes. Both carat per cubic millimeter and grain per gallon are defined by fixed standards rather than physical artifacts, so the factor of 11683566.23 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.