Mass per volume density.
Metric tons per Cup to Carats per Cubic Millimeter Converter — t/cup to ct/mm3
Convert Metric ton per Cup (t/cup) to Carat per Cubic Millimeter (ct/mm3) using the exact conversion factor (1 metric ton per cup = 21.13376419 carat per cubic millimeter). See the formula, worked examples, and conversion table.
Metric tons per Cup to Carats 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 4.22675284e+6 / 200000.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Metric tons per Cup to Carats per Cubic Millimeter
Metric ton per Cup and Carat 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
carats per cubic millimeter = metric tons per cup × 21.1337641887
This factor comes from each unit's defined relationship to the category's base unit: 1 metric ton per cup equals 4226752.83773 base units, and 1 carat per cubic millimeter equals 200000 base units, so dividing one by the other gives the direct metric ton per cup-to-carat per cubic millimeter factor of 21.1337641887.
Simple example
1 t/cup × 21.13376419 = 21.13376419 ct/mm3
1 metric ton per cup = 21.13376419 carats per cubic millimeter.
Real-world example
1,000 t/cup × 21.13376419 = 21,133.76419 ct/mm3
1,000 metric tons per cup = 21,133.76419 carats per cubic millimeter.
Conversion table
| Metric ton per Cup (t/cup) | Carat per Cubic Millimeter (ct/mm3) |
|---|---|
| 0.1 t/cup | 2.113376419 ct/mm3 |
| 1 t/cup | 21.13376419 ct/mm3 |
| 10 t/cup | 211.3376419 ct/mm3 |
| 100 t/cup | 2,113.376419 ct/mm3 |
| 1,000 t/cup | 21,133.76419 ct/mm3 |
| 10,000 t/cup | 211,337.6419 ct/mm3 |
Reverse conversion: Carat per Cubic Millimeter to Metric ton per Cup
21.13376419 ct/mm3 × 0.0473176473 = 1 t/cup
21.13376419 carats per cubic millimeter = 1 metric tons per cup.
metric tons per cup = carats per cubic millimeter × 0.0473176473
For a page dedicated to this direction, see Carat per Cubic Millimeter to Metric ton per Cup.
Understanding the Metric ton per Cup (t/cup)
Mass per volume density.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic millimeter are in 1 metric ton per cup?
1 metric ton per cup equals 21.13376419 carats per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cup to carat per cubic millimeter?
Multiply the metric ton per cup value by 21.13376419. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic millimeter back to metric ton per cup?
Use the reverse factor: 1 carat per cubic millimeter equals 0.0473176473 metric tons per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a metric ton per cup?
Metric ton per Cup (t/cup) is a unit of density.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
Is the metric ton per cup to carat per cubic millimeter conversion exact?
Yes. Both metric ton per cup and carat per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 21.13376419 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.