Mass per volume density.
Carats per Cubic Millimeter to Carats per Cup Converter — ct/mm3 to ct/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Carat per Cup (ct/cup) using the exact conversion factor (1 carat per cubic millimeter = 236,588.2365 carat per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter 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 200000 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Carats per Cup
Carat per Cubic Millimeter 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 = carats per cubic millimeter × 236588.2365
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-carat per cup factor of 236588.2365.
Simple example
1 ct/mm3 × 236588.2365 = 236,588.2365 ct/cup
1 carat per cubic millimeter = 236,588.2365 carats per cup.
Real-world example
1,000 ct/mm3 × 236588.2365 = 236,588,236.5 ct/cup
1,000 carats per cubic millimeter = 236,588,236.5 carats per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 ct/mm3 | 23,658.82365 ct/cup |
| 1 ct/mm3 | 236,588.2365 ct/cup |
| 10 ct/mm3 | 2,365,882.365 ct/cup |
| 100 ct/mm3 | 23,658,823.65 ct/cup |
| 1,000 ct/mm3 | 236,588,236.5 ct/cup |
| 10,000 ct/mm3 | 2,365,882,365 ct/cup |
Reverse conversion: Carat per Cup to Carat per Cubic Millimeter
1 ct/cup × 0.000004226752838 = 0.0000042268 ct/mm3
1 carat per cup = 0.0000042268 carats per cubic millimeter.
carats per cubic millimeter = carats per cup × 0.00000422675283773
For a page dedicated to this direction, see Carat per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
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 carat per cubic millimeter?
1 carat per cubic millimeter equals 236,588.2365 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to carat per cup?
Multiply the carat per cubic millimeter value by 236588.2365. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to carat per cubic millimeter?
Use the reverse factor: 1 carat per cup equals 0.0000042268 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the carat per cubic millimeter to carat per cup conversion exact?
Yes. Both carat per cubic millimeter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 236588.2365 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.