Mass per volume density.
Carats per Cup to Carats per Cubic Centimeter Converter — ct/cup to ct/cm3
Convert Carat per Cup (ct/cup) to Carat per Cubic Centimeter (ct/cm3) using the exact conversion factor (1 carat per cup = 0.0042267528 carat per cubic centimeter). See the formula, worked examples, and conversion table.
Carats 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 0.8453505675 / 200.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Carats per Cubic Centimeter
Carat 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 = carats per cup × 0.00422675283773
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 carat per cubic centimeter equals 200 base units, so dividing one by the other gives the direct carat per cup-to-carat per cubic centimeter factor of 0.00422675283773.
Simple example
1 ct/cup × 0.004226752838 = 0.0042267528 ct/cm3
1 carat per cup = 0.0042267528 carats per cubic centimeter.
Real-world example
1,000 ct/cup × 0.004226752838 = 4.226752838 ct/cm3
1,000 carats per cup = 4.226752838 carats per cubic centimeter.
Conversion table
| Carat per Cup (ct/cup) | Carat per Cubic Centimeter (ct/cm3) |
|---|---|
| 0.1 ct/cup | 0.0004226753 ct/cm3 |
| 1 ct/cup | 0.0042267528 ct/cm3 |
| 10 ct/cup | 0.0422675284 ct/cm3 |
| 100 ct/cup | 0.4226752838 ct/cm3 |
| 1,000 ct/cup | 4.226752838 ct/cm3 |
| 10,000 ct/cup | 42.26752838 ct/cm3 |
Reverse conversion: Carat per Cubic Centimeter to Carat per Cup
0.0042267528 ct/cm3 × 236.5882365 = 0.9999999911 ct/cup
0.0042267528 carats per cubic centimeter = 0.9999999911 carats per cup.
carats per cup = carats per cubic centimeter × 236.5882365
For a page dedicated to this direction, see Carat per Cubic Centimeter to Carat per Cup.
Understanding the Carat per Cup (ct/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 carat per cup?
1 carat per cup equals 0.0042267528 carats per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to carat per cubic centimeter?
Multiply the carat per cup value by 0.004226752838. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic centimeter back to carat per cup?
Use the reverse factor: 1 carat per cubic centimeter equals 236.5882365 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/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 carat per cup to carat per cubic centimeter conversion exact?
Yes. Both carat per cup and carat per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.004226752838 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.