Mass per volume density.
Grams per Cubic Millimeter to Carats per Cup Converter — g/mm3 to ct/cup
Convert Gram per Cubic Millimeter (g/mm3) to Carat per Cup (ct/cup) using the exact conversion factor (1 gram per cubic millimeter = 1,182,941.182 carat per cup). See the formula, worked examples, and conversion table.
Grams 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 1e+6 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cubic Millimeter to Carats per Cup
Gram 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 = grams per cubic millimeter × 1182941.1825
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cubic millimeter equals 1000000 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct gram per cubic millimeter-to-carat per cup factor of 1182941.1825.
Simple example
1 g/mm3 × 1182941.182 = 1,182,941.182 ct/cup
1 gram per cubic millimeter = 1,182,941.182 carats per cup.
Real-world example
1,000 g/mm3 × 1182941.182 = 1,182,941,183 ct/cup
1,000 grams per cubic millimeter = 1,182,941,183 carats per cup.
Conversion table
| Gram per Cubic Millimeter (g/mm3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 g/mm3 | 118,294.1182 ct/cup |
| 1 g/mm3 | 1,182,941.182 ct/cup |
| 10 g/mm3 | 11,829,411.82 ct/cup |
| 100 g/mm3 | 118,294,118.3 ct/cup |
| 1,000 g/mm3 | 1,182,941,183 ct/cup |
| 10,000 g/mm3 | 11,829,411,830 ct/cup |
Reverse conversion: Carat per Cup to Gram per Cubic Millimeter
1 ct/cup × 8.453506e-7 = 8.453506e-7 g/mm3
1 carat per cup = 8.453506e-7 grams per cubic millimeter.
grams per cubic millimeter = carats per cup × 8.453506e-7
For a page dedicated to this direction, see Carat per Cup to Gram per Cubic Millimeter.
Understanding the Gram per Cubic Millimeter (g/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 gram per cubic millimeter?
1 gram per cubic millimeter equals 1,182,941.182 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic millimeter to carat per cup?
Multiply the gram per cubic millimeter value by 1182941.182. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to gram per cubic millimeter?
Use the reverse factor: 1 carat per cup equals 8.453506e-7 grams per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cubic millimeter?
Gram per Cubic Millimeter (g/mm3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the gram per cubic millimeter to carat per cup conversion exact?
Yes. Both gram per cubic millimeter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 1182941.182 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.