Mass per volume density.
Metric tons per Cubic yard to Carat per Cubic inches Converter — t/yd3 to ct/in3
Convert Metric ton per Cubic yard (t/yd3) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 metric ton per cubic yard = 107.1673525 carat per cubic inch). See the formula, worked examples, and conversion table.
Metric tons per Cubic yard to Carat per Cubic inches 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 1307.950619 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Metric tons per Cubic yard to Carat per Cubic inches
Metric ton per Cubic yard and Carat per Cubic inch 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
carat per cubic inches = metric tons per cubic yard × 107.167352538
This factor comes from each unit's defined relationship to the category's base unit: 1 metric ton per cubic yard equals 1307.95061931 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct metric ton per cubic yard-to-carat per cubic inch factor of 107.167352538.
Simple example
1 t/yd3 × 107.1673525 = 107.1673525 ct/in3
1 metric ton per cubic yard = 107.1673525 carat per cubic inches.
Real-world example
1,000 t/yd3 × 107.1673525 = 107,167.3525 ct/in3
1,000 metric tons per cubic yard = 107,167.3525 carat per cubic inches.
Conversion table
| Metric ton per Cubic yard (t/yd3) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 t/yd3 | 10.71673525 ct/in3 |
| 1 t/yd3 | 107.1673525 ct/in3 |
| 10 t/yd3 | 1,071.673525 ct/in3 |
| 100 t/yd3 | 10,716.73525 ct/in3 |
| 1,000 t/yd3 | 107,167.3525 ct/in3 |
| 10,000 t/yd3 | 1,071,673.525 ct/in3 |
Reverse conversion: Carat per Cubic inch to Metric ton per Cubic yard
107.1673525 ct/in3 × 0.0093312 = 0.9999999996 t/yd3
107.1673525 carat per cubic inches = 0.9999999996 metric tons per cubic yard.
metric tons per cubic yard = carat per cubic inches × 0.0093312
For a page dedicated to this direction, see Carat per Cubic inch to Metric ton per Cubic yard.
Understanding the Metric ton per Cubic yard (t/yd3)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 metric ton per cubic yard?
1 metric ton per cubic yard equals 107.1673525 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert metric ton per cubic yard to carat per cubic inch?
Multiply the metric ton per cubic yard value by 107.1673525. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to metric ton per cubic yard?
Use the reverse factor: 1 carat per cubic inch equals 0.0093312 metric tons per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a metric ton per cubic yard?
Metric ton per Cubic yard (t/yd3) is a unit of density.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the metric ton per cubic yard to carat per cubic inch conversion exact?
Yes. Both metric ton per cubic yard and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 107.1673525 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.