Mass per volume density.
Carats per Cubic Millimeter to Kilograms per Cup Converter — ct/mm3 to kg/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Kilogram per Cup (kg/cup) using the exact conversion factor (1 carat per cubic millimeter = 47.3176473 kilogram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Kilograms 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 / 4226.752838.
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 Kilograms per Cup
Carat per Cubic Millimeter and Kilogram 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
kilograms per cup = carats per cubic millimeter × 47.3176473
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 kilogram per cup equals 4226.75283773 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-kilogram per cup factor of 47.3176473.
Simple example
1 ct/mm3 × 47.3176473 = 47.3176473 kg/cup
1 carat per cubic millimeter = 47.3176473 kilograms per cup.
Real-world example
1,000 ct/mm3 × 47.3176473 = 47,317.6473 kg/cup
1,000 carats per cubic millimeter = 47,317.6473 kilograms per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Kilogram per Cup (kg/cup) |
|---|---|
| 0.1 ct/mm3 | 4.73176473 kg/cup |
| 1 ct/mm3 | 47.3176473 kg/cup |
| 10 ct/mm3 | 473.176473 kg/cup |
| 100 ct/mm3 | 4,731.76473 kg/cup |
| 1,000 ct/mm3 | 47,317.6473 kg/cup |
| 10,000 ct/mm3 | 473,176.473 kg/cup |
Reverse conversion: Kilogram per Cup to Carat per Cubic Millimeter
47.3176473 kg/cup × 0.02113376419 = 1 ct/mm3
47.3176473 kilograms per cup = 1 carats per cubic millimeter.
carats per cubic millimeter = kilograms per cup × 0.0211337641887
For a page dedicated to this direction, see Kilogram per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Kilogram per Cup (kg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many kilograms per cup are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 47.3176473 kilograms per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to kilogram per cup?
Multiply the carat per cubic millimeter value by 47.3176473. The converter above does this instantly to whatever precision you set.
How do I convert kilogram per cup back to carat per cubic millimeter?
Use the reverse factor: 1 kilogram per cup equals 0.0211337642 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 kilogram per cup?
Kilogram per Cup (kg/cup) is a unit of density.
Is the carat per cubic millimeter to kilogram per cup conversion exact?
Yes. Both carat per cubic millimeter and kilogram per cup are defined by fixed standards rather than physical artifacts, so the factor of 47.3176473 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.