Mass per volume density.
Kilograms per Cup to Carats per Cubic Centimeter Converter — kg/cup to ct/cm3
Convert Kilogram per Cup (kg/cup) to Carat per Cubic Centimeter (ct/cm3) using the exact conversion factor (1 kilogram per cup = 21.13376419 carat per cubic centimeter). See the formula, worked examples, and conversion table.
Kilograms 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.
Mass per volume density.
Result = input x 4226.752838 / 200.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Kilograms per Cup to Carats per Cubic Centimeter
Kilogram 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 = kilograms per cup × 21.1337641887
This factor comes from each unit's defined relationship to the category's base unit: 1 kilogram per cup equals 4226.75283773 base units, and 1 carat per cubic centimeter equals 200 base units, so dividing one by the other gives the direct kilogram per cup-to-carat per cubic centimeter factor of 21.1337641887.
Simple example
1 kg/cup × 21.13376419 = 21.13376419 ct/cm3
1 kilogram per cup = 21.13376419 carats per cubic centimeter.
Real-world example
1,000 kg/cup × 21.13376419 = 21,133.76419 ct/cm3
1,000 kilograms per cup = 21,133.76419 carats per cubic centimeter.
Conversion table
| Kilogram per Cup (kg/cup) | Carat per Cubic Centimeter (ct/cm3) |
|---|---|
| 0.1 kg/cup | 2.113376419 ct/cm3 |
| 1 kg/cup | 21.13376419 ct/cm3 |
| 10 kg/cup | 211.3376419 ct/cm3 |
| 100 kg/cup | 2,113.376419 ct/cm3 |
| 1,000 kg/cup | 21,133.76419 ct/cm3 |
| 10,000 kg/cup | 211,337.6419 ct/cm3 |
Reverse conversion: Carat per Cubic Centimeter to Kilogram per Cup
21.13376419 ct/cm3 × 0.0473176473 = 1 kg/cup
21.13376419 carats per cubic centimeter = 1 kilograms per cup.
kilograms per cup = carats per cubic centimeter × 0.0473176473
For a page dedicated to this direction, see Carat per Cubic Centimeter to Kilogram per Cup.
Understanding the Kilogram per Cup (kg/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 kilogram per cup?
1 kilogram per cup equals 21.13376419 carats per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert kilogram per cup to carat per cubic centimeter?
Multiply the kilogram per cup value by 21.13376419. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic centimeter back to kilogram per cup?
Use the reverse factor: 1 carat per cubic centimeter equals 0.0473176473 kilograms per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a kilogram per cup?
Kilogram per Cup (kg/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 kilogram per cup to carat per cubic centimeter conversion exact?
Yes. Both kilogram per cup and carat per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 21.13376419 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.