Mass per volume density.
Carats per Cubic Centimeter to Grains per Cup Converter — ct/cm3 to gr/cup
Convert Carat per Cubic Centimeter (ct/cm3) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per cubic centimeter = 730.2228896 grain per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Centimeter to Grains per Cup 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 200 / 0.2738889767.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Centimeter to Grains per Cup
Carat per Cubic Centimeter and Grain per Cup 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 cup = carats per cubic centimeter × 730.222889552
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic centimeter equals 200 base units, and 1 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per cubic centimeter-to-grain per cup factor of 730.222889552.
Simple example
1 ct/cm3 × 730.2228896 = 730.2228896 gr/cup
1 carat per cubic centimeter = 730.2228896 grains per cup.
Real-world example
1,000 ct/cm3 × 730.2228896 = 730,222.8896 gr/cup
1,000 carats per cubic centimeter = 730,222.8896 grains per cup.
Conversion table
| Carat per Cubic Centimeter (ct/cm3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/cm3 | 73.02228896 gr/cup |
| 1 ct/cm3 | 730.2228896 gr/cup |
| 10 ct/cm3 | 7,302.228896 gr/cup |
| 100 ct/cm3 | 73,022.28896 gr/cup |
| 1,000 ct/cm3 | 730,222.8896 gr/cup |
| 10,000 ct/cm3 | 7,302,228.896 gr/cup |
Reverse conversion: Grain per Cup to Carat per Cubic Centimeter
730.2228896 gr/cup × 0.001369444884 = 1 ct/cm3
730.2228896 grains per cup = 1 carats per cubic centimeter.
carats per cubic centimeter = grains per cup × 0.00136944488362
For a page dedicated to this direction, see Grain per Cup to Carat per Cubic Centimeter.
Understanding the Carat per Cubic Centimeter (ct/cm3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 carat per cubic centimeter?
1 carat per cubic centimeter equals 730.2228896 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic centimeter to grain per cup?
Multiply the carat per cubic centimeter value by 730.2228896. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per cubic centimeter?
Use the reverse factor: 1 grain per cup equals 0.0013694449 carats per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic centimeter?
Carat per Cubic Centimeter (ct/cm3) is a unit of density.
What is a grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per cubic centimeter to grain per cup conversion exact?
Yes. Both carat per cubic centimeter and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 730.2228896 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.