Mass per volume density.
Grains per Cup to Carats per Cubic Centimeter Converter — gr/cup to ct/cm3
Convert Grain per Cup (gr/cup) to Carat per Cubic Centimeter (ct/cm3) using the exact conversion factor (1 grain per cup = 0.0013694449 carat per cubic centimeter). See the formula, worked examples, and conversion table.
Grains per Cup 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 0.2738889767 / 200.
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 Centimeter
Grain per Cup 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 = grains per cup × 0.00136944488362
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 centimeter equals 200 base units, so dividing one by the other gives the direct grain per cup-to-carat per cubic centimeter factor of 0.00136944488362.
Simple example
1 gr/cup × 0.001369444884 = 0.0013694449 ct/cm3
1 grain per cup = 0.0013694449 carats per cubic centimeter.
Real-world example
1,000 gr/cup × 0.001369444884 = 1.369444884 ct/cm3
1,000 grains per cup = 1.369444884 carats per cubic centimeter.
Conversion table
| Grain per Cup (gr/cup) | Carat per Cubic Centimeter (ct/cm3) |
|---|---|
| 0.1 gr/cup | 0.0001369445 ct/cm3 |
| 1 gr/cup | 0.0013694449 ct/cm3 |
| 10 gr/cup | 0.0136944488 ct/cm3 |
| 100 gr/cup | 0.1369444884 ct/cm3 |
| 1,000 gr/cup | 1.369444884 ct/cm3 |
| 10,000 gr/cup | 13.69444884 ct/cm3 |
Reverse conversion: Carat per Cubic Centimeter to Grain per Cup
0.0013694449 ct/cm3 × 730.2228896 = 1.000000012 gr/cup
0.0013694449 carats per cubic centimeter = 1.000000012 grains per cup.
grains per cup = carats per cubic centimeter × 730.222889552
For a page dedicated to this direction, see Carat per Cubic Centimeter to Grain per Cup.
Understanding the Grain per Cup (gr/cup)
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 cup?
1 grain per cup equals 0.0013694449 carats per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cup to carat per cubic centimeter?
Multiply the grain per cup value by 0.001369444884. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic centimeter back to grain per cup?
Use the reverse factor: 1 carat per cubic centimeter equals 730.2228896 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 centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
Is the grain per cup to carat per cubic centimeter conversion exact?
Yes. Both grain per cup and carat per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.001369444884 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.