Mass per volume density.
Carat per Cubic inches to Centigrams per Cup Converter — ct/in3 to cg/cup
Convert Carat per Cubic inch (ct/in3) to Centigram per Cup (cg/cup) using the exact conversion factor (1 carat per cubic inch = 288.75 centigram per cup). See the formula, worked examples, and conversion table.
Carat per Cubic inches to Centigrams 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 / 0.04226752838.
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 Centigrams per Cup
Carat per Cubic inch and Centigram 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
centigrams per cup = carat per cubic inches × 288.75
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 centigram per cup equals 0.0422675283773 base units, so dividing one by the other gives the direct carat per cubic inch-to-centigram per cup factor of 288.75.
Simple example
1 ct/in3 × 288.75 = 288.75 cg/cup
1 carat per cubic inch = 288.75 centigrams per cup.
Real-world example
1,000 ct/in3 × 288.75 = 288,750 cg/cup
1,000 carat per cubic inches = 288,750 centigrams per cup.
Conversion table
| Carat per Cubic inch (ct/in3) | Centigram per Cup (cg/cup) |
|---|---|
| 0.1 ct/in3 | 28.875 cg/cup |
| 1 ct/in3 | 288.75 cg/cup |
| 10 ct/in3 | 2,887.5 cg/cup |
| 100 ct/in3 | 28,875 cg/cup |
| 1,000 ct/in3 | 288,750 cg/cup |
| 10,000 ct/in3 | 2,887,500 cg/cup |
Reverse conversion: Centigram per Cup to Carat per Cubic inch
288.75 cg/cup × 0.003463203463 = 1 ct/in3
288.75 centigrams per cup = 1 carat per cubic inch.
carat per cubic inches = centigrams per cup × 0.0034632034632
For a page dedicated to this direction, see Centigram per Cup to Carat per Cubic inch.
Understanding the Carat per Cubic inch (ct/in3)
Mass per volume density.
Understanding the Centigram per Cup (cg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many centigrams per cup are in 1 carat per cubic inch?
1 carat per cubic inch equals 288.75 centigrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic inch to centigram per cup?
Multiply the carat per cubic inch value by 288.75. The converter above does this instantly to whatever precision you set.
How do I convert centigram per cup back to carat per cubic inch?
Use the reverse factor: 1 centigram per cup equals 0.0034632035 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 centigram per cup?
Centigram per Cup (cg/cup) is a unit of density.
Is the carat per cubic inch to centigram per cup conversion exact?
Yes. Both carat per cubic inch and centigram per cup are defined by fixed standards rather than physical artifacts, so the factor of 288.75 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.