Mass per volume density.
Carats per Cup to Troy ounces per Cubic yard Converter — ct/cup to oz t/yd3
Convert Carat per Cup (ct/cup) to Troy ounce per Cubic yard (oz t/yd3) using the exact conversion factor (1 carat per cup = 20.77957031 troy ounce per cubic yard). See the formula, worked examples, and conversion table.
Carats per Cup to Troy ounces 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 0.8453505675 / 0.04068181174.
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 Troy ounces per Cubic yard
Carat per Cup and Troy ounce 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
troy ounces per cubic yard = carats per cup × 20.7795703121
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 troy ounce per cubic yard equals 0.0406818117434 base units, so dividing one by the other gives the direct carat per cup-to-troy ounce per cubic yard factor of 20.7795703121.
Simple example
1 ct/cup × 20.77957031 = 20.77957031 oz t/yd3
1 carat per cup = 20.77957031 troy ounces per cubic yard.
Real-world example
1,000 ct/cup × 20.77957031 = 20,779.57031 oz t/yd3
1,000 carats per cup = 20,779.57031 troy ounces per cubic yard.
Conversion table
| Carat per Cup (ct/cup) | Troy ounce per Cubic yard (oz t/yd3) |
|---|---|
| 0.1 ct/cup | 2.077957031 oz t/yd3 |
| 1 ct/cup | 20.77957031 oz t/yd3 |
| 10 ct/cup | 207.7957031 oz t/yd3 |
| 100 ct/cup | 2,077.957031 oz t/yd3 |
| 1,000 ct/cup | 20,779.57031 oz t/yd3 |
| 10,000 ct/cup | 207,795.7031 oz t/yd3 |
Reverse conversion: Troy ounce per Cubic yard to Carat per Cup
20.77957031 oz t/yd3 × 0.04812419049 = 0.9999999999 ct/cup
20.77957031 troy ounces per cubic yard = 0.9999999999 carats per cup.
carats per cup = troy ounces per cubic yard × 0.04812419049
For a page dedicated to this direction, see Troy ounce per Cubic yard to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Troy ounce per Cubic yard (oz t/yd3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many troy ounces per cubic yard are in 1 carat per cup?
1 carat per cup equals 20.77957031 troy ounces per cubic yard, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to troy ounce per cubic yard?
Multiply the carat per cup value by 20.77957031. The converter above does this instantly to whatever precision you set.
How do I convert troy ounce per cubic yard back to carat per cup?
Use the reverse factor: 1 troy ounce per cubic yard equals 0.0481241905 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 troy ounce per cubic yard?
Troy ounce per Cubic yard (oz t/yd3) is a unit of density.
Is the carat per cup to troy ounce per cubic yard conversion exact?
Yes. Both carat per cup and troy ounce per cubic yard are defined by fixed standards rather than physical artifacts, so the factor of 20.77957031 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.