Mass per volume density.
Drams per Cubic Millimeter to Carat per Cubic inches Converter — dr/mm3 to ct/in3
Convert Dram per Cubic Millimeter (dr/mm3) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 dram per cubic millimeter = 145,176.7031 carat per cubic inch). See the formula, worked examples, and conversion table.
Drams per Cubic Millimeter to Carat per Cubic inches 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 1.7718452e+6 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Drams per Cubic Millimeter to Carat per Cubic inches
Dram per Cubic Millimeter and Carat per Cubic inch 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
carat per cubic inches = drams per cubic millimeter × 145176.703068
This factor comes from each unit's defined relationship to the category's base unit: 1 dram per cubic millimeter equals 1771845.19531 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct dram per cubic millimeter-to-carat per cubic inch factor of 145176.703068.
Simple example
1 dr/mm3 × 145176.7031 = 145,176.7031 ct/in3
1 dram per cubic millimeter = 145,176.7031 carat per cubic inches.
Real-world example
1,000 dr/mm3 × 145176.7031 = 145,176,703.1 ct/in3
1,000 drams per cubic millimeter = 145,176,703.1 carat per cubic inches.
Conversion table
| Dram per Cubic Millimeter (dr/mm3) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 dr/mm3 | 14,517.67031 ct/in3 |
| 1 dr/mm3 | 145,176.7031 ct/in3 |
| 10 dr/mm3 | 1,451,767.031 ct/in3 |
| 100 dr/mm3 | 14,517,670.31 ct/in3 |
| 1,000 dr/mm3 | 145,176,703.1 ct/in3 |
| 10,000 dr/mm3 | 1,451,767,031 ct/in3 |
Reverse conversion: Carat per Cubic inch to Dram per Cubic Millimeter
1 ct/in3 × 0.000006888157527 = 0.0000068882 dr/mm3
1 carat per cubic inch = 0.0000068882 drams per cubic millimeter.
drams per cubic millimeter = carat per cubic inches × 0.0000068881575271
For a page dedicated to this direction, see Carat per Cubic inch to Dram per Cubic Millimeter.
Understanding the Dram per Cubic Millimeter (dr/mm3)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 dram per cubic millimeter?
1 dram per cubic millimeter equals 145,176.7031 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert dram per cubic millimeter to carat per cubic inch?
Multiply the dram per cubic millimeter value by 145176.7031. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to dram per cubic millimeter?
Use the reverse factor: 1 carat per cubic inch equals 0.0000068882 drams per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a dram per cubic millimeter?
Dram per Cubic Millimeter (dr/mm3) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the dram per cubic millimeter to carat per cubic inch conversion exact?
Yes. Both dram per cubic millimeter and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 145176.7031 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.