Mass per volume density.
Carat per Cubic inches to Carats per Cup Converter — ct/in3 to ct/cup
Convert Carat per Cubic inch (ct/in3) to Carat per Cup (ct/cup) using the exact conversion factor (1 carat per cubic inch = 14.4375 carat per cup). See the formula, worked examples, and conversion table.
Carat per Cubic inches 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 12.20474882 / 0.8453505675.
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 Carats per Cup
Carat per Cubic inch 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 = carat per cubic inches × 14.4375
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 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct carat per cubic inch-to-carat per cup factor of 14.4375.
Simple example
1 ct/in3 × 14.4375 = 14.4375 ct/cup
1 carat per cubic inch = 14.4375 carats per cup.
Real-world example
1,000 ct/in3 × 14.4375 = 14,437.5 ct/cup
1,000 carat per cubic inches = 14,437.5 carats per cup.
Conversion table
| Carat per Cubic inch (ct/in3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 ct/in3 | 1.44375 ct/cup |
| 1 ct/in3 | 14.4375 ct/cup |
| 10 ct/in3 | 144.375 ct/cup |
| 100 ct/in3 | 1,443.75 ct/cup |
| 1,000 ct/in3 | 14,437.5 ct/cup |
| 10,000 ct/in3 | 144,375 ct/cup |
Reverse conversion: Carat per Cup to Carat per Cubic inch
14.4375 ct/cup × 0.06926406926 = 1 ct/in3
14.4375 carats per cup = 1 carat per cubic inch.
carat per cubic inches = carats per cup × 0.0692640692641
For a page dedicated to this direction, see Carat per Cup to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
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 carat per cubic inch?
1 carat per cubic inch equals 14.4375 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to carat per cup?
Multiply the carat per cubic inch value by 14.4375. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to carat per cubic inch?
Use the reverse factor: 1 carat per cup equals 0.0692640693 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 carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the carat per cubic inch to carat per cup conversion exact?
Yes. Both carat per cubic inch and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 14.4375 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.