Mass per volume density.
Stones per Cup to Carat per Cubic inches Converter — st/cup to ct/in3
Convert Stone per Cup (st/cup) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 stone per cup = 2,199.235733 carat per cubic inch). See the formula, worked examples, and conversion table.
Stones per Cup to Carat per Cubic inches 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 / 12.20474882.
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 Carat per Cubic inches
Stone per Cup and Carat per Cubic inch 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
carat per cubic inches = stones per cup × 2199.23573333
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 cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct stone per cup-to-carat per cubic inch factor of 2199.23573333.
Simple example
1 st/cup × 2199.235733 = 2,199.235733 ct/in3
1 stone per cup = 2,199.235733 carat per cubic inches.
Real-world example
1,000 st/cup × 2199.235733 = 2,199,235.733 ct/in3
1,000 stones per cup = 2,199,235.733 carat per cubic inches.
Conversion table
| Stone per Cup (st/cup) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 st/cup | 219.9235733 ct/in3 |
| 1 st/cup | 2,199.235733 ct/in3 |
| 10 st/cup | 21,992.35733 ct/in3 |
| 100 st/cup | 219,923.5733 ct/in3 |
| 1,000 st/cup | 2,199,235.733 ct/in3 |
| 10,000 st/cup | 21,992,357.33 ct/in3 |
Reverse conversion: Carat per Cubic inch to Stone per Cup
1 ct/in3 × 0.0004547034158 = 0.0004547034 st/cup
1 carat per cubic inch = 0.0004547034 stones per cup.
stones per cup = carat per cubic inches × 0.000454703415756
For a page dedicated to this direction, see Carat per Cubic inch to Stone per Cup.
Understanding the Stone per Cup (st/cup)
Mass per volume density.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carat per cubic inches are in 1 stone per cup?
1 stone per cup equals 2,199.235733 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert stone per cup to carat per cubic inch?
Multiply the stone per cup value by 2199.235733. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to stone per cup?
Use the reverse factor: 1 carat per cubic inch equals 0.0004547034 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 cubic inch?
Carat per Cubic inch (ct/in3) is a unit of density.
Is the stone per cup to carat per cubic inch conversion exact?
Yes. Both stone per cup and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 2199.235733 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.