Mass per volume density.
Carats per Cup to Long tons per Cubic Meter Converter — ct/cup to long ton/m3
Convert Carat per Cup (ct/cup) to Long ton per Cubic Meter (long ton/m3) using the exact conversion factor (1 carat per cup = 0.0008319995 long ton per cubic meter). See the formula, worked examples, and conversion table.
Carats per Cup to Long tons 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 0.8453505675 / 1016.046909.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Long tons per Cubic Meter
Carat per Cup and Long ton 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
long tons per cubic meter = carats per cup × 0.000831999546699
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 long ton per cubic meter equals 1016.0469088 base units, so dividing one by the other gives the direct carat per cup-to-long ton per cubic meter factor of 0.000831999546699.
Simple example
1 ct/cup × 0.0008319995467 = 0.0008319995 long ton/m3
1 carat per cup = 0.0008319995 long tons per cubic meter.
Real-world example
1,000 ct/cup × 0.0008319995467 = 0.8319995467 long ton/m3
1,000 carats per cup = 0.8319995467 long tons per cubic meter.
Conversion table
| Carat per Cup (ct/cup) | Long ton per Cubic Meter (long ton/m3) |
|---|---|
| 0.1 ct/cup | 0.0000832 long ton/m3 |
| 1 ct/cup | 0.0008319995 long ton/m3 |
| 10 ct/cup | 0.0083199955 long ton/m3 |
| 100 ct/cup | 0.0831999547 long ton/m3 |
| 1,000 ct/cup | 0.8319995467 long ton/m3 |
| 10,000 ct/cup | 8.319995467 long ton/m3 |
Reverse conversion: Long ton per Cubic Meter to Carat per Cup
0.0008319995 long ton/m3 × 1201.923732 = 0.9999999439 ct/cup
0.0008319995 long tons per cubic meter = 0.9999999439 carats per cup.
carats per cup = long tons per cubic meter × 1201.92373177
For a page dedicated to this direction, see Long ton per Cubic Meter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Long ton per Cubic Meter (long ton/m3)
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 meter are in 1 carat per cup?
1 carat per cup equals 0.0008319995 long tons per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to long ton per cubic meter?
Multiply the carat per cup value by 0.0008319995467. The converter above does this instantly to whatever precision you set.
How do I convert long ton per cubic meter back to carat per cup?
Use the reverse factor: 1 long ton per cubic meter equals 1,201.923732 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
What is a long ton per cubic meter?
Long ton per Cubic Meter (long ton/m3) is a unit of density.
Is the carat per cup to long ton per cubic meter conversion exact?
Yes. Both carat per cup and long ton per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 0.0008319995467 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.