Mass per volume density.
Stones per Cup to Carats per Cup Converter — st/cup to ct/cup
Convert Stone per Cup (st/cup) to Carat per Cup (ct/cup) using the exact conversion factor (1 stone per cup = 31,751.4659 carat per cup). See the formula, worked examples, and conversion table.
Stones per Cup 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 26841.11972 / 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 Cup to Carats per Cup
Stone per Cup 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 cup × 31751.4659
This factor comes from each unit's defined relationship to the category's base unit: 1 stone per cup equals 26841.119719 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct stone per cup-to-carat per cup factor of 31751.4659.
Simple example
1 st/cup × 31751.4659 = 31,751.4659 ct/cup
1 stone per cup = 31,751.4659 carats per cup.
Real-world example
1,000 st/cup × 31751.4659 = 31,751,465.9 ct/cup
1,000 stones per cup = 31,751,465.9 carats per cup.
Conversion table
| Stone per Cup (st/cup) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 st/cup | 3,175.14659 ct/cup |
| 1 st/cup | 31,751.4659 ct/cup |
| 10 st/cup | 317,514.659 ct/cup |
| 100 st/cup | 3,175,146.59 ct/cup |
| 1,000 st/cup | 31,751,465.9 ct/cup |
| 10,000 st/cup | 317,514,659 ct/cup |
Reverse conversion: Carat per Cup to Stone per Cup
1 ct/cup × 0.00003149460888 = 0.0000314946 st/cup
1 carat per cup = 0.0000314946 stones per cup.
stones per cup = carats per cup × 0.0000314946088836
For a page dedicated to this direction, see Carat per Cup to Stone per Cup.
Understanding the Stone per Cup (st/cup)
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 cup?
1 stone per cup equals 31,751.4659 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cup to carat per cup?
Multiply the stone per cup value by 31751.4659. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to stone per cup?
Use the reverse factor: 1 carat per cup equals 0.0000314946 stones per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a stone per cup?
Stone per Cup (st/cup) 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 cup to carat per cup conversion exact?
Yes. Both stone per cup and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 31751.4659 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.