Mass per volume density.
Carats per Cup to Drams per Cubic Centimeter Converter — ct/cup to dr/cm3
Convert Carat per Cup (ct/cup) to Dram per Cubic Centimeter (dr/cm3) using the exact conversion factor (1 carat per cup = 0.0004771018 dram per cubic centimeter). See the formula, worked examples, and conversion table.
Carats per Cup to Drams 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 / 1771.845195.
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 Drams per Cubic Centimeter
Carat per Cup and Dram 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
drams per cubic centimeter = carats per cup × 0.000477101820059
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 dram per cubic centimeter equals 1771.84519531 base units, so dividing one by the other gives the direct carat per cup-to-dram per cubic centimeter factor of 0.000477101820059.
Simple example
1 ct/cup × 0.0004771018201 = 0.0004771018 dr/cm3
1 carat per cup = 0.0004771018 drams per cubic centimeter.
Real-world example
1,000 ct/cup × 0.0004771018201 = 0.4771018201 dr/cm3
1,000 carats per cup = 0.4771018201 drams per cubic centimeter.
Conversion table
| Carat per Cup (ct/cup) | Dram per Cubic Centimeter (dr/cm3) |
|---|---|
| 0.1 ct/cup | 0.0000477102 dr/cm3 |
| 1 ct/cup | 0.0004771018 dr/cm3 |
| 10 ct/cup | 0.0047710182 dr/cm3 |
| 100 ct/cup | 0.047710182 dr/cm3 |
| 1,000 ct/cup | 0.4771018201 dr/cm3 |
| 10,000 ct/cup | 4.771018201 dr/cm3 |
Reverse conversion: Dram per Cubic Centimeter to Carat per Cup
0.0004771018 dr/cm3 × 2095.988651 = 0.999999958 ct/cup
0.0004771018 drams per cubic centimeter = 0.999999958 carats per cup.
carats per cup = drams per cubic centimeter × 2095.98865055
For a page dedicated to this direction, see Dram per Cubic Centimeter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Dram per Cubic Centimeter (dr/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many drams per cubic centimeter are in 1 carat per cup?
1 carat per cup equals 0.0004771018 drams per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to dram per cubic centimeter?
Multiply the carat per cup value by 0.0004771018201. The converter above does this instantly to whatever precision you set.
How do I convert dram per cubic centimeter back to carat per cup?
Use the reverse factor: 1 dram per cubic centimeter equals 2,095.988651 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 dram per cubic centimeter?
Dram per Cubic Centimeter (dr/cm3) is a unit of density.
Is the carat per cup to dram per cubic centimeter conversion exact?
Yes. Both carat per cup and dram per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.0004771018201 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.