Mass per volume density.
Carat per Cubic inches to Stones per Cup Converter — ct/in3 to st/cup
Convert Carat per Cubic inch (ct/in3) to Stone per Cup (st/cup) using the exact conversion factor (1 carat per cubic inch = 0.0004547034 stone per cup). See the formula, worked examples, and conversion table.
Carat per Cubic inches 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 12.20474882 / 26841.11972.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carat per Cubic inches to Stones per Cup
Carat per Cubic inch 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 = carat per cubic inches × 0.000454703415756
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic inch equals 12.2047488189 base units, and 1 stone per cup equals 26841.119719 base units, so dividing one by the other gives the direct carat per cubic inch-to-stone per cup factor of 0.000454703415756.
Simple example
1 ct/in3 × 0.0004547034158 = 0.0004547034 st/cup
1 carat per cubic inch = 0.0004547034 stones per cup.
Real-world example
1,000 ct/in3 × 0.0004547034158 = 0.4547034158 st/cup
1,000 carat per cubic inches = 0.4547034158 stones per cup.
Conversion table
| Carat per Cubic inch (ct/in3) | Stone per Cup (st/cup) |
|---|---|
| 0.1 ct/in3 | 0.0000454703 st/cup |
| 1 ct/in3 | 0.0004547034 st/cup |
| 10 ct/in3 | 0.0045470342 st/cup |
| 100 ct/in3 | 0.0454703416 st/cup |
| 1,000 ct/in3 | 0.4547034158 st/cup |
| 10,000 ct/in3 | 4.547034158 st/cup |
Reverse conversion: Stone per Cup to Carat per Cubic inch
0.0004547034 st/cup × 2199.235733 = 0.9999999653 ct/in3
0.0004547034 stones per cup = 0.9999999653 carat per cubic inches.
carat per cubic inches = stones per cup × 2199.23573333
For a page dedicated to this direction, see Stone per Cup to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
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 cubic inch?
1 carat per cubic inch equals 0.0004547034 stones per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to stone per cup?
Multiply the carat per cubic inch value by 0.0004547034158. The converter above does this instantly to whatever precision you set.
How do I convert stone per cup back to carat per cubic inch?
Use the reverse factor: 1 stone per cup equals 2,199.235733 carat per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic inch?
Carat per Cubic inch (ct/in3) 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 cubic inch to stone per cup conversion exact?
Yes. Both carat per cubic inch and stone per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.0004547034158 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.