Mass per volume density.
Grams per Cubic Millimeter to Carats per Cubic Meter Converter — g/mm3 to ct/m3
Convert Gram per Cubic Millimeter (g/mm3) to Carat per Cubic Meter (ct/m3) using the exact conversion factor (1 gram per cubic millimeter = 5,000,000,000 carat per cubic meter). See the formula, worked examples, and conversion table.
Grams per Cubic Millimeter to Carats per Cubic Meter 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 / 0.0002.
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 Cubic Meter
Gram per Cubic Millimeter and Carat per Cubic Meter 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 meter = grams per cubic millimeter × 5000000000
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 cubic meter equals 0.0002 base units, so dividing one by the other gives the direct gram per cubic millimeter-to-carat per cubic meter factor of 5000000000.
Simple example
1 g/mm3 × 5000000000 = 5,000,000,000 ct/m3
1 gram per cubic millimeter = 5,000,000,000 carats per cubic meter.
Real-world example
1,000 g/mm3 × 5000000000 = 5e+12 ct/m3
1,000 grams per cubic millimeter = 5e+12 carats per cubic meter.
Conversion table
| Gram per Cubic Millimeter (g/mm3) | Carat per Cubic Meter (ct/m3) |
|---|---|
| 0.1 g/mm3 | 500,000,000 ct/m3 |
| 1 g/mm3 | 5,000,000,000 ct/m3 |
| 10 g/mm3 | 50,000,000,000 ct/m3 |
| 100 g/mm3 | 500,000,000,000 ct/m3 |
| 1,000 g/mm3 | 5e+12 ct/m3 |
| 10,000 g/mm3 | 5e+13 ct/m3 |
Reverse conversion: Carat per Cubic Meter to Gram per Cubic Millimeter
1 ct/m3 × 2e-10 = 2e-10 g/mm3
1 carat per cubic meter = 2e-10 grams per cubic millimeter.
grams per cubic millimeter = carats per cubic meter × 2e-10
For a page dedicated to this direction, see Carat per Cubic Meter to Gram per Cubic Millimeter.
Understanding the Gram per Cubic Millimeter (g/mm3)
Mass per volume density.
Understanding the Carat per Cubic Meter (ct/m3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic meter are in 1 gram per cubic millimeter?
1 gram per cubic millimeter equals 5,000,000,000 carats per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic millimeter to carat per cubic meter?
Multiply the gram per cubic millimeter value by 5000000000. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic meter back to gram per cubic millimeter?
Use the reverse factor: 1 carat per cubic meter equals 2e-10 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 cubic meter?
Carat per Cubic Meter (ct/m3) is a unit of density.
Is the gram per cubic millimeter to carat per cubic meter conversion exact?
Yes. Both gram per cubic millimeter and carat per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 5000000000 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.