Mass per volume density.
Carat per Cubic inches to Carats per Cubic yard Converter — ct/in3 to ct/yd3
Convert Carat per Cubic inch (ct/in3) to Carat per Cubic yard (ct/yd3) using the exact conversion factor (1 carat per cubic inch = 46,656 carat per cubic yard). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Carats per Cubic yard 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 / 0.0002615901239.
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 Carats per Cubic yard
Carat per Cubic inch and Carat per Cubic yard 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 yard = carat per cubic inches × 46656
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 carat per cubic yard equals 0.000261590123863 base units, so dividing one by the other gives the direct carat per cubic inch-to-carat per cubic yard factor of 46656.
Simple example
1 ct/in3 × 46656 = 46,656 ct/yd3
1 carat per cubic inch = 46,656 carats per cubic yard.
Real-world example
1,000 ct/in3 × 46656 = 46,656,000 ct/yd3
1,000 carat per cubic inches = 46,656,000 carats per cubic yard.
Conversion table
| Carat per Cubic inch (ct/in3) | Carat per Cubic yard (ct/yd3) |
|---|---|
| 0.1 ct/in3 | 4,665.6 ct/yd3 |
| 1 ct/in3 | 46,656 ct/yd3 |
| 10 ct/in3 | 466,560 ct/yd3 |
| 100 ct/in3 | 4,665,600 ct/yd3 |
| 1,000 ct/in3 | 46,656,000 ct/yd3 |
| 10,000 ct/in3 | 466,560,000 ct/yd3 |
Reverse conversion: Carat per Cubic yard to Carat per Cubic inch
1 ct/yd3 × 0.00002143347051 = 0.0000214335 ct/in3
1 carat per cubic yard = 0.0000214335 carat per cubic inches.
carat per cubic inches = carats per cubic yard × 0.0000214334705075
For a page dedicated to this direction, see Carat per Cubic yard to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Carat per Cubic yard (ct/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic yard are in 1 carat per cubic inch?
1 carat per cubic inch equals 46,656 carats per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to carat per cubic yard?
Multiply the carat per cubic inch value by 46656. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic yard back to carat per cubic inch?
Use the reverse factor: 1 carat per cubic yard equals 0.0000214335 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 carat per cubic yard?
Carat per Cubic yard (ct/yd3) is a unit of density.
Is the carat per cubic inch to carat per cubic yard conversion exact?
Yes. Both carat per cubic inch and carat per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 46656 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.