Mass per volume density.
Kilograms per Cup to Carat per Cubic inches Converter — kg/cup to ct/in3
Convert Kilogram per Cup (kg/cup) to Carat per Cubic inch (ct/in3) using the exact conversion factor (1 kilogram per cup = 346.3203463 carat per cubic inch). See the formula, worked examples, and conversion table.
Kilograms 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 4226.752838 / 12.20474882.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Kilograms per Cup to Carat per Cubic inches
Kilogram 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 = kilograms per cup × 346.32034632
This factor comes from each unit's defined relationship to the category's base unit: 1 kilogram per cup equals 4226.75283773 base units, and 1 carat per cubic inch equals 12.2047488189 base units, so dividing one by the other gives the direct kilogram per cup-to-carat per cubic inch factor of 346.32034632.
Simple example
1 kg/cup × 346.3203463 = 346.3203463 ct/in3
1 kilogram per cup = 346.3203463 carat per cubic inches.
Real-world example
1,000 kg/cup × 346.3203463 = 346,320.3463 ct/in3
1,000 kilograms per cup = 346,320.3463 carat per cubic inches.
Conversion table
| Kilogram per Cup (kg/cup) | Carat per Cubic inch (ct/in3) |
|---|---|
| 0.1 kg/cup | 34.63203463 ct/in3 |
| 1 kg/cup | 346.3203463 ct/in3 |
| 10 kg/cup | 3,463.203463 ct/in3 |
| 100 kg/cup | 34,632.03463 ct/in3 |
| 1,000 kg/cup | 346,320.3463 ct/in3 |
| 10,000 kg/cup | 3,463,203.463 ct/in3 |
Reverse conversion: Carat per Cubic inch to Kilogram per Cup
346.3203463 ct/in3 × 0.0028875 = 0.9999999999 kg/cup
346.3203463 carat per cubic inches = 0.9999999999 kilograms per cup.
kilograms per cup = carat per cubic inches × 0.0028875
For a page dedicated to this direction, see Carat per Cubic inch to Kilogram per Cup.
Understanding the Kilogram per Cup (kg/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 kilogram per cup?
1 kilogram per cup equals 346.3203463 carat per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert kilogram per cup to carat per cubic inch?
Multiply the kilogram per cup value by 346.3203463. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic inch back to kilogram per cup?
Use the reverse factor: 1 carat per cubic inch equals 0.0028875 kilograms per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a kilogram per cup?
Kilogram per Cup (kg/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 kilogram per cup to carat per cubic inch conversion exact?
Yes. Both kilogram per cup and carat per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 346.3203463 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.