Mass per volume density.
Stones per Cubic yard to Carats per Cup Converter — st/yd3 to ct/cup
Convert Stone per Cubic yard (st/yd3) to Carat per Cup (ct/cup) using the exact conversion factor (1 stone per cubic yard = 9.825355558 carat per cup). See the formula, worked examples, and conversion table.
Stones per Cubic yard to Carats per Cup 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 8.305869898 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Stones per Cubic yard to Carats per Cup
Stone per Cubic yard and Carat per Cup 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 cup = stones per cubic yard × 9.82535555837
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per cubic yard equals 8.30586989761 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct stone per cubic yard-to-carat per cup factor of 9.82535555837.
Simple example
1 st/yd3 × 9.825355558 = 9.825355558 ct/cup
1 stone per cubic yard = 9.825355558 carats per cup.
Real-world example
1,000 st/yd3 × 9.825355558 = 9,825.355558 ct/cup
1,000 stones per cubic yard = 9,825.355558 carats per cup.
Conversion table
| Stone per Cubic yard (st/yd3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 st/yd3 | 0.9825355558 ct/cup |
| 1 st/yd3 | 9.825355558 ct/cup |
| 10 st/yd3 | 98.25355558 ct/cup |
| 100 st/yd3 | 982.5355558 ct/cup |
| 1,000 st/yd3 | 9,825.355558 ct/cup |
| 10,000 st/yd3 | 98,253.55558 ct/cup |
Reverse conversion: Carat per Cup to Stone per Cubic yard
9.825355558 ct/cup × 0.1017774872 = 1 st/yd3
9.825355558 carats per cup = 1 stones per cubic yard.
stones per cubic yard = carats per cup × 0.101777487243
For a page dedicated to this direction, see Carat per Cup to Stone per Cubic yard.
Understanding the Stone per Cubic yard (st/yd3)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 stone per cubic yard?
1 stone per cubic yard equals 9.825355558 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cubic yard to carat per cup?
Multiply the stone per cubic yard value by 9.825355558. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to stone per cubic yard?
Use the reverse factor: 1 carat per cup equals 0.1017774872 stones per cubic yard. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per cubic yard?
Stone per Cubic yard (st/yd3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the stone per cubic yard to carat per cup conversion exact?
Yes. Both stone per cubic yard and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 9.825355558 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.