Mass per volume density.
Carats per Cup to Milligram per Cubic inches Converter — ct/cup to mg/in3
Convert Carat per Cup (ct/cup) to Milligram per Cubic inch (mg/in3) using the exact conversion factor (1 carat per cup = 13.85281385 milligram per cubic inch). See the formula, worked examples, and conversion table.
Carats per Cup to Milligram 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 / 0.06102374409.
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 Milligram per Cubic inches
Carat per Cup and Milligram 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
milligram per cubic inches = carats per cup × 13.8528138528
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 milligram per cubic inch equals 0.0610237440947 base units, so dividing one by the other gives the direct carat per cup-to-milligram per cubic inch factor of 13.8528138528.
Simple example
1 ct/cup × 13.85281385 = 13.85281385 mg/in3
1 carat per cup = 13.85281385 milligram per cubic inches.
Real-world example
1,000 ct/cup × 13.85281385 = 13,852.81385 mg/in3
1,000 carats per cup = 13,852.81385 milligram per cubic inches.
Conversion table
| Carat per Cup (ct/cup) | Milligram per Cubic inch (mg/in3) |
|---|---|
| 0.1 ct/cup | 1.385281385 mg/in3 |
| 1 ct/cup | 13.85281385 mg/in3 |
| 10 ct/cup | 138.5281385 mg/in3 |
| 100 ct/cup | 1,385.281385 mg/in3 |
| 1,000 ct/cup | 13,852.81385 mg/in3 |
| 10,000 ct/cup | 138,528.1385 mg/in3 |
Reverse conversion: Milligram per Cubic inch to Carat per Cup
13.85281385 mg/in3 × 0.0721875 = 0.9999999998 ct/cup
13.85281385 milligram per cubic inches = 0.9999999998 carats per cup.
carats per cup = milligram per cubic inches × 0.0721875
For a page dedicated to this direction, see Milligram per Cubic inch to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Milligram per Cubic inch (mg/in3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many milligram per cubic inches are in 1 carat per cup?
1 carat per cup equals 13.85281385 milligram per cubic inches, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to milligram per cubic inch?
Multiply the carat per cup value by 13.85281385. The converter above does this instantly to whatever precision you set.
How do I convert milligram per cubic inch back to carat per cup?
Use the reverse factor: 1 milligram per cubic inch equals 0.0721875 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 milligram per cubic inch?
Milligram per Cubic inch (mg/in3) is a unit of density.
Is the carat per cup to milligram per cubic inch conversion exact?
Yes. Both carat per cup and milligram per cubic inch are defined by fixed standards rather than physical artifacts, so the factor of 13.85281385 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.