Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
Carat per Cup to Kilogram per Cubic Millimeter
Convert carat per cup (ct/cup) to kilogram per cubic millimeter (kg/mm3) instantly with formula, conversion table, and FAQ.
Reserved for a responsive leaderboard above the conversion details.
Professional calculator style
World-scale conversion engine
30+ categories
6,500+ units
Instant results
Offline ready
Density calculator
Density Converter
Convert carat per cup (ct/cup) to kilogram per cubic millimeter (kg/mm3) instantly with formula, conversion table, and FAQ.
Context values
Some unit families need one extra value for a physically accurate result.
Kilogram per Cubic Millimeter (kg/mm3) expresses mass in kilogram per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
kg/mm3 = ct/cup × 8.453506e-10
Results update instantly for Carat per Cup to Kilogram per Cubic Millimeter conversions.
Reserved above the conversion cards and below the converter.
Formula
kg/mm3 = ct/cup × 8.453506e-10
ct/cup = kg/mm3 × 1.182941e9
Conversion table
| 1 ct/cup | 8.453506e-10 kg/mm3 |
| 5 ct/cup | 4.226753e-9 kg/mm3 |
| 10 ct/cup | 8.453506e-9 kg/mm3 |
| 20 ct/cup | 1.690701e-8 kg/mm3 |
| 50 ct/cup | 4.226753e-8 kg/mm3 |
| 100 ct/cup | 8.453506e-8 kg/mm3 |
| 500 ct/cup | 4.226753e-7 kg/mm3 |
| 1000 ct/cup | 8.453506e-7 kg/mm3 |
Related conversions
Reserved between the cards and the FAQ so the page stays balanced.
How the formula works
Both carat per cup and kilogram per cubic millimeter measure the same physical quantity (mass per unit volume), so converting between them is a single multiplication. Multiply a value in carat per cup by 8.453506e-10 to get kilogram per cubic millimeter. To reverse the conversion, multiply a kilogram per cubic millimeter value by 1.182941e9 to get back to carat per cup.
Frequently asked questions
What is Carat per Cup (ct/cup)?
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value.
What is Kilogram per Cubic Millimeter (kg/mm3)?
Kilogram per Cubic Millimeter (kg/mm3) expresses mass in kilogram per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
How do I convert carat per cup to kilogram per cubic millimeter?
Multiply the carat per cup value by 8.453506e-10 to get the equivalent in kilogram per cubic millimeter. For example, 5 ct/cup × 8.453506e-10 = 4.226753e-9 kg/mm3.
Is this conversion exact?
Yes. Both units are defined using fixed metric and imperial conversion constants, so the factor 8.453506e-10 is an exact, non-rounded value.
Can I convert kilogram per cubic millimeter back to carat per cup?
Yes. Divide the kilogram per cubic millimeter value by 8.453506e-10, or multiply it by 1.182941e9, to get carat per cup.
Reserved between the FAQ and the article so the page stays balanced.
About converting carat per cup to kilogram per cubic millimeter
Carat per Cup (ct/cup) expresses mass in carat per unit volume in cup, found by dividing a mass value by a volume value. Kilogram per Cubic Millimeter (kg/mm3) expresses mass in kilogram per unit volume in cubic millimeter, found by dividing a mass value by a volume value.
Use this calculator to move between carat per cup and kilogram per cubic millimeter accurately for science, engineering, manufacturing, or everyday density calculations. The Universal Converter uses exact unit factors, so results stay consistent across the site.