Mass per volume density.
Grains per Cup to Carats per Cubic Millimeter Converter — gr/cup to ct/mm3
Convert Grain per Cup (gr/cup) to Carat per Cubic Millimeter (ct/mm3) using the exact conversion factor (1 grain per cup = 0.0000013694 carat per cubic millimeter). See the formula, worked examples, and conversion table.
Grains per Cup to Carats per Cubic Millimeter 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 0.2738889767 / 200000.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cup to Carats per Cubic Millimeter
Grain per Cup and Carat per Cubic Millimeter 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 millimeter = grains per cup × 0.00000136944488362
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cup equals 0.273888976724 base units, and 1 carat per cubic millimeter equals 200000 base units, so dividing one by the other gives the direct grain per cup-to-carat per cubic millimeter factor of 0.00000136944488362.
Simple example
1 gr/cup × 0.000001369444884 = 0.0000013694 ct/mm3
1 grain per cup = 0.0000013694 carats per cubic millimeter.
Real-world example
1,000 gr/cup × 0.000001369444884 = 0.0013694449 ct/mm3
1,000 grains per cup = 0.0013694449 carats per cubic millimeter.
Conversion table
| Grain per Cup (gr/cup) | Carat per Cubic Millimeter (ct/mm3) |
|---|---|
| 0.1 gr/cup | 1.369445e-7 ct/mm3 |
| 1 gr/cup | 0.0000013694 ct/mm3 |
| 10 gr/cup | 0.0000136944 ct/mm3 |
| 100 gr/cup | 0.0001369445 ct/mm3 |
| 1,000 gr/cup | 0.0013694449 ct/mm3 |
| 10,000 gr/cup | 0.0136944488 ct/mm3 |
Reverse conversion: Carat per Cubic Millimeter to Grain per Cup
0.0000013694 ct/mm3 × 730222.8896 = 0.999967225 gr/cup
0.0000013694 carats per cubic millimeter = 0.999967225 grains per cup.
grains per cup = carats per cubic millimeter × 730222.889552
For a page dedicated to this direction, see Carat per Cubic Millimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic millimeter are in 1 grain per cup?
1 grain per cup equals 0.0000013694 carats per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per cubic millimeter?
Multiply the grain per cup value by 0.000001369444884. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic millimeter back to grain per cup?
Use the reverse factor: 1 carat per cubic millimeter equals 730,222.8896 grains per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
Is the grain per cup to carat per cubic millimeter conversion exact?
Yes. Both grain per cup and carat per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.000001369444884 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.