Mass per volume density.
Carats per Cup to Ounces per Cubic Centimeter Converter — ct/cup to oz/cm3
Convert Carat per Cup (ct/cup) to Ounce per Cubic Centimeter (oz/cm3) using the exact conversion factor (1 carat per cup = 0.0000298189 ounce per cubic centimeter). See the formula, worked examples, and conversion table.
Carats per Cup to Ounces per Cubic Centimeter 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 / 28349.52312.
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 Ounces per Cubic Centimeter
Carat per Cup and Ounce per Cubic Centimeter 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
ounces per cubic centimeter = carats per cup × 0.0000298188637537
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 ounce per cubic centimeter equals 28349.523125 base units, so dividing one by the other gives the direct carat per cup-to-ounce per cubic centimeter factor of 0.0000298188637537.
Simple example
1 ct/cup × 0.00002981886375 = 0.0000298189 oz/cm3
1 carat per cup = 0.0000298189 ounces per cubic centimeter.
Real-world example
1,000 ct/cup × 0.00002981886375 = 0.0298188638 oz/cm3
1,000 carats per cup = 0.0298188638 ounces per cubic centimeter.
Conversion table
| Carat per Cup (ct/cup) | Ounce per Cubic Centimeter (oz/cm3) |
|---|---|
| 0.1 ct/cup | 0.0000029819 oz/cm3 |
| 1 ct/cup | 0.0000298189 oz/cm3 |
| 10 ct/cup | 0.0002981886 oz/cm3 |
| 100 ct/cup | 0.0029818864 oz/cm3 |
| 1,000 ct/cup | 0.0298188638 oz/cm3 |
| 10,000 ct/cup | 0.2981886375 oz/cm3 |
Reverse conversion: Ounce per Cubic Centimeter to Carat per Cup
0.0000298189 oz/cm3 × 33535.81841 = 1.000001216 ct/cup
0.0000298189 ounces per cubic centimeter = 1.000001216 carats per cup.
carats per cup = ounces per cubic centimeter × 33535.8184088
For a page dedicated to this direction, see Ounce per Cubic Centimeter to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Ounce per Cubic Centimeter (oz/cm3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounces per cubic centimeter are in 1 carat per cup?
1 carat per cup equals 0.0000298189 ounces per cubic centimeter, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to ounce per cubic centimeter?
Multiply the carat per cup value by 0.00002981886375. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cubic centimeter back to carat per cup?
Use the reverse factor: 1 ounce per cubic centimeter equals 33,535.81841 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 ounce per cubic centimeter?
Ounce per Cubic Centimeter (oz/cm3) is a unit of density.
Is the carat per cup to ounce per cubic centimeter conversion exact?
Yes. Both carat per cup and ounce per cubic centimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.00002981886375 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.