Mass per volume density.
Carat per Cubic inches to Troy ounces per Cubic Millimeter Converter — ct/in3 to oz t/mm3
Convert Carat per Cubic inch (ct/in3) to Troy ounce per Cubic Millimeter (oz t/mm3) using the exact conversion factor (1 carat per cubic inch = 3.923918e-7 troy ounce per cubic millimeter). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Troy ounces per Cubic Millimeter 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 12.20474882 / 3.11034768e+7.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Troy ounces per Cubic Millimeter
Carat per Cubic inch and Troy ounce per Cubic Millimeter 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
troy ounces per cubic millimeter = carat per cubic inches × 3.923918e-7
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 base units, and 1 troy ounce per cubic millimeter equals 31103476.8 base units, so dividing one by the other gives the direct carat per cubic inch-to-troy ounce per cubic millimeter factor of 3.923918e-7.
Simple example
1 ct/in3 × 3.923918e-7 = 3.923918e-7 oz t/mm3
1 carat per cubic inch = 3.923918e-7 troy ounces per cubic millimeter.
Real-world example
1,000 ct/in3 × 3.923918e-7 = 0.0003923918 oz t/mm3
1,000 carat per cubic inches = 0.0003923918 troy ounces per cubic millimeter.
Conversion table
| Carat per Cubic inch (ct/in3) | Troy ounce per Cubic Millimeter (oz t/mm3) |
|---|---|
| 0.1 ct/in3 | 3.923918e-8 oz t/mm3 |
| 1 ct/in3 | 3.923918e-7 oz t/mm3 |
| 10 ct/in3 | 0.0000039239 oz t/mm3 |
| 100 ct/in3 | 0.0000392392 oz t/mm3 |
| 1,000 ct/in3 | 0.0003923918 oz t/mm3 |
| 10,000 ct/in3 | 0.0039239179 oz t/mm3 |
Reverse conversion: Troy ounce per Cubic Millimeter to Carat per Cubic inch
3.923918e-7 oz t/mm3 × 2548473.325 = 1.000000035 ct/in3
3.923918e-7 troy ounces per cubic millimeter = 1.000000035 carat per cubic inches.
carat per cubic inches = troy ounces per cubic millimeter × 2548473.32472
For a page dedicated to this direction, see Troy ounce per Cubic Millimeter to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Troy ounce per Cubic Millimeter (oz t/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cubic millimeter are in 1 carat per cubic inch?
1 carat per cubic inch equals 3.923918e-7 troy ounces per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to troy ounce per cubic millimeter?
Multiply the carat per cubic inch value by 3.923918e-7. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cubic millimeter back to carat per cubic inch?
Use the reverse factor: 1 troy ounce per cubic millimeter equals 2,548,473.325 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
What is a troy ounce per cubic millimeter?
Troy ounce per Cubic Millimeter (oz t/mm3) is a unit of density.
Is the carat per cubic inch to troy ounce per cubic millimeter conversion exact?
Yes. Both carat per cubic inch and troy ounce per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 3.923918e-7 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.