Mass per volume density.
Carat per Cubic inches to Long tons per Cubic Millimeter Converter — ct/in3 to long ton/mm3
Convert Carat per Cubic inch (ct/in3) to Long ton per Cubic Millimeter (long ton/mm3) using the exact conversion factor (1 carat per cubic inch = 1.201199e-11 long ton per cubic millimeter). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Long tons 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 / 1.01604691e+12.
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 Long tons per Cubic Millimeter
Carat per Cubic inch and Long ton 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
long tons per cubic millimeter = carat per cubic inches × 1.201199e-11
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 long ton per cubic millimeter equals 1.016047e+12 base units, so dividing one by the other gives the direct carat per cubic inch-to-long ton per cubic millimeter factor of 1.201199e-11.
Simple example
1 ct/in3 × 1.201199e-11 = 1.201199e-11 long ton/mm3
1 carat per cubic inch = 1.201199e-11 long tons per cubic millimeter.
Real-world example
1,000 ct/in3 × 1.201199e-11 = 1.201199e-8 long ton/mm3
1,000 carat per cubic inches = 1.201199e-8 long tons per cubic millimeter.
Conversion table
| Carat per Cubic inch (ct/in3) | Long ton per Cubic Millimeter (long ton/mm3) |
|---|---|
| 0.1 ct/in3 | 1.201199e-12 long ton/mm3 |
| 1 ct/in3 | 1.201199e-11 long ton/mm3 |
| 10 ct/in3 | 1.201199e-10 long ton/mm3 |
| 100 ct/in3 | 1.201199e-9 long ton/mm3 |
| 1,000 ct/in3 | 1.201199e-8 long ton/mm3 |
| 10,000 ct/in3 | 1.201199e-7 long ton/mm3 |
Reverse conversion: Long ton per Cubic Millimeter to Carat per Cubic inch
1.201199e-11 long ton/mm3 × 83250128610 = 0.9999997123 ct/in3
1.201199e-11 long tons per cubic millimeter = 0.9999997123 carat per cubic inches.
carat per cubic inches = long tons per cubic millimeter × 83250128607.5
For a page dedicated to this direction, see Long ton per Cubic Millimeter to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Long ton per Cubic Millimeter (long ton/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many long tons per cubic millimeter are in 1 carat per cubic inch?
1 carat per cubic inch equals 1.201199e-11 long tons per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to long ton per cubic millimeter?
Multiply the carat per cubic inch value by 1.201199e-11. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cubic millimeter back to carat per cubic inch?
Use the reverse factor: 1 long ton per cubic millimeter equals 83,250,128,610 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 long ton per cubic millimeter?
Long ton per Cubic Millimeter (long ton/mm3) is a unit of density.
Is the carat per cubic inch to long ton per cubic millimeter conversion exact?
Yes. Both carat per cubic inch and long ton per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 1.201199e-11 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.