Mass per volume density.
Carats per Cup to Kilogram per Cubic inches Converter — ct/cup to kg/in3
Convert Carat per Cup (ct/cup) to Kilogram per Cubic inch (kg/in3) using the exact conversion factor (1 carat per cup = 0.0000138528 kilogram per cubic inch). See the formula, worked examples, and conversion table.
Carats per Cup to Kilogram 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 0.8453505675 / 61023.74409.
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 Kilogram per Cubic inches
Carat per Cup and Kilogram 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
kilogram per cubic inches = carats per cup × 0.0000138528138528
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 kilogram per cubic inch equals 61023.7440947 base units, so dividing one by the other gives the direct carat per cup-to-kilogram per cubic inch factor of 0.0000138528138528.
Simple example
1 ct/cup × 0.00001385281385 = 0.0000138528 kg/in3
1 carat per cup = 0.0000138528 kilogram per cubic inches.
Real-world example
1,000 ct/cup × 0.00001385281385 = 0.0138528139 kg/in3
1,000 carats per cup = 0.0138528139 kilogram per cubic inches.
Conversion table
| Carat per Cup (ct/cup) | Kilogram per Cubic inch (kg/in3) |
|---|---|
| 0.1 ct/cup | 0.0000013853 kg/in3 |
| 1 ct/cup | 0.0000138528 kg/in3 |
| 10 ct/cup | 0.0001385281 kg/in3 |
| 100 ct/cup | 0.0013852814 kg/in3 |
| 1,000 ct/cup | 0.0138528139 kg/in3 |
| 10,000 ct/cup | 0.1385281385 kg/in3 |
Reverse conversion: Kilogram per Cubic inch to Carat per Cup
0.0000138528 kg/in3 × 72187.5 = 0.999999 ct/cup
0.0000138528 kilogram per cubic inches = 0.999999 carats per cup.
carats per cup = kilogram per cubic inches × 72187.5
For a page dedicated to this direction, see Kilogram per Cubic inch to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Kilogram per Cubic inch (kg/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many kilogram per cubic inches are in 1 carat per cup?
1 carat per cup equals 0.0000138528 kilogram per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to kilogram per cubic inch?
Multiply the carat per cup value by 0.00001385281385. The converter above does this instantly to whatever precision you set.
How do I convert kilogram per cubic inch back to carat per cup?
Use the reverse factor: 1 kilogram per cubic inch equals 72,187.5 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 kilogram per cubic inch?
Kilogram per Cubic inch (kg/in3) is a unit of density.
Is the carat per cup to kilogram per cubic inch conversion exact?
Yes. Both carat per cup and kilogram per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 0.00001385281385 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.