Mass per volume density.
Carats per Cup to Metric tons per Cubic Centimeter Converter — ct/cup to t/cm3
Convert Carat per Cup (ct/cup) to Metric ton per Cubic Centimeter (t/cm3) using the exact conversion factor (1 carat per cup = 8.453506e-10 metric ton per cubic centimeter). See the formula, worked examples, and conversion table.
Carats per Cup to Metric tons per Cubic Centimeter 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 / 1e+9.
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 Metric tons per Cubic Centimeter
Carat per Cup and Metric ton per Cubic Centimeter 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
metric tons per cubic centimeter = carats per cup × 8.453506e-10
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 metric ton per cubic centimeter equals 1000000000 base units, so dividing one by the other gives the direct carat per cup-to-metric ton per cubic centimeter factor of 8.453506e-10.
Simple example
1 ct/cup × 8.453506e-10 = 8.453506e-10 t/cm3
1 carat per cup = 8.453506e-10 metric tons per cubic centimeter.
Real-world example
1,000 ct/cup × 8.453506e-10 = 8.453506e-7 t/cm3
1,000 carats per cup = 8.453506e-7 metric tons per cubic centimeter.
Conversion table
| Carat per Cup (ct/cup) | Metric ton per Cubic Centimeter (t/cm3) |
|---|---|
| 0.1 ct/cup | 8.453506e-11 t/cm3 |
| 1 ct/cup | 8.453506e-10 t/cm3 |
| 10 ct/cup | 8.453506e-9 t/cm3 |
| 100 ct/cup | 8.453506e-8 t/cm3 |
| 1,000 ct/cup | 8.453506e-7 t/cm3 |
| 10,000 ct/cup | 0.0000084535 t/cm3 |
Reverse conversion: Metric ton per Cubic Centimeter to Carat per Cup
8.453506e-10 t/cm3 × 1182941182 = 1.000000038 ct/cup
8.453506e-10 metric tons per cubic centimeter = 1.000000038 carats per cup.
carats per cup = metric tons per cubic centimeter × 1182941182.5
For a page dedicated to this direction, see Metric ton per Cubic Centimeter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Metric ton per Cubic Centimeter (t/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many metric tons per cubic centimeter are in 1 carat per cup?
1 carat per cup equals 8.453506e-10 metric tons per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to metric ton per cubic centimeter?
Multiply the carat per cup value by 8.453506e-10. The converter above does this instantly to whatever precision you set.
How do I convert metric ton per cubic centimeter back to carat per cup?
Use the reverse factor: 1 metric ton per cubic centimeter equals 1,182,941,182 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 metric ton per cubic centimeter?
Metric ton per Cubic Centimeter (t/cm3) is a unit of density.
Is the carat per cup to metric ton per cubic centimeter conversion exact?
Yes. Both carat per cup and metric ton per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 8.453506e-10 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.