Mass per volume density.
Grains per Cubic Centimeter to Carats per Cup Converter — gr/cm3 to ct/cup
Convert Grain per Cubic Centimeter (gr/cm3) to Carat per Cup (ct/cup) using the exact conversion factor (1 grain per cubic centimeter = 76.65329922 carat per cup). See the formula, worked examples, and conversion table.
Grains per Cubic Centimeter to Carats 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 64.79891 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grains per Cubic Centimeter to Carats per Cup
Grain per Cubic Centimeter and Carat 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
carats per cup = grains per cubic centimeter × 76.6532992201
This factor comes from each unit's defined relationship to the category's base unit: 1 grain per cubic centimeter equals 64.79891 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct grain per cubic centimeter-to-carat per cup factor of 76.6532992201.
Simple example
1 gr/cm3 × 76.65329922 = 76.65329922 ct/cup
1 grain per cubic centimeter = 76.65329922 carats per cup.
Real-world example
1,000 gr/cm3 × 76.65329922 = 76,653.29922 ct/cup
1,000 grains per cubic centimeter = 76,653.29922 carats per cup.
Conversion table
| Grain per Cubic Centimeter (gr/cm3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 gr/cm3 | 7.665329922 ct/cup |
| 1 gr/cm3 | 76.65329922 ct/cup |
| 10 gr/cm3 | 766.5329922 ct/cup |
| 100 gr/cm3 | 7,665.329922 ct/cup |
| 1,000 gr/cm3 | 76,653.29922 ct/cup |
| 10,000 gr/cm3 | 766,532.9922 ct/cup |
Reverse conversion: Carat per Cup to Grain per Cubic Centimeter
76.65329922 ct/cup × 0.01304575289 = 1 gr/cm3
76.65329922 carats per cup = 1 grains per cubic centimeter.
grains per cubic centimeter = carats per cup × 0.0130457528922
For a page dedicated to this direction, see Carat per Cup to Grain per Cubic Centimeter.
Understanding the Grain per Cubic Centimeter (gr/cm3)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 grain per cubic centimeter?
1 grain per cubic centimeter equals 76.65329922 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert grain per cubic centimeter to carat per cup?
Multiply the grain per cubic centimeter value by 76.65329922. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to grain per cubic centimeter?
Use the reverse factor: 1 carat per cup equals 0.0130457529 grains per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a grain per cubic centimeter?
Grain per Cubic Centimeter (gr/cm3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the grain per cubic centimeter to carat per cup conversion exact?
Yes. Both grain per cubic centimeter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 76.65329922 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.