Mass per volume density.
Carats per Cup to Stones per Cup Converter — ct/cup to st/cup
Convert Carat per Cup (ct/cup) to Stone per Cup (st/cup) using the exact conversion factor (1 carat per cup = 0.0000314946 stone per cup). See the formula, worked examples, and conversion table.
Carats per Cup to Stones 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 0.8453505675 / 26841.11972.
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 Stones per Cup
Carat per Cup and Stone 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
stones per cup = carats per cup × 0.0000314946088836
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 stone per cup equals 26841.119719 base units, so dividing one by the other gives the direct carat per cup-to-stone per cup factor of 0.0000314946088836.
Simple example
1 ct/cup × 0.00003149460888 = 0.0000314946 st/cup
1 carat per cup = 0.0000314946 stones per cup.
Real-world example
1,000 ct/cup × 0.00003149460888 = 0.0314946089 st/cup
1,000 carats per cup = 0.0314946089 stones per cup.
Conversion table
| Carat per Cup (ct/cup) | Stone per Cup (st/cup) |
|---|---|
| 0.1 ct/cup | 0.0000031495 st/cup |
| 1 ct/cup | 0.0000314946 st/cup |
| 10 ct/cup | 0.0003149461 st/cup |
| 100 ct/cup | 0.0031494609 st/cup |
| 1,000 ct/cup | 0.0314946089 st/cup |
| 10,000 ct/cup | 0.3149460888 st/cup |
Reverse conversion: Stone per Cup to Carat per Cup
0.0000314946 st/cup × 31751.4659 = 0.9999997179 ct/cup
0.0000314946 stones per cup = 0.9999997179 carats per cup.
carats per cup = stones per cup × 31751.4659
For a page dedicated to this direction, see Stone per Cup to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Stone per Cup (st/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many stones per cup are in 1 carat per cup?
1 carat per cup equals 0.0000314946 stones per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to stone per cup?
Multiply the carat per cup value by 0.00003149460888. The converter above does this instantly to whatever precision you set.
How do I convert stone per cup back to carat per cup?
Use the reverse factor: 1 stone per cup equals 31,751.4659 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 stone per cup?
Stone per Cup (st/cup) is a unit of density.
Is the carat per cup to stone per cup conversion exact?
Yes. Both carat per cup and stone per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00003149460888 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.