Mass per volume density.
Ounces per Cubic Centimeter to Carats per Cup Converter — oz/cm3 to ct/cup
Convert Ounce per Cubic Centimeter (oz/cm3) to Carat per Cup (ct/cup) using the exact conversion factor (1 ounce per cubic centimeter = 33,535.81841 carat per cup). See the formula, worked examples, and conversion table.
Ounces per Cubic Centimeter to Carats 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 28349.52312 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Ounces per Cubic Centimeter to Carats per Cup
Ounce per Cubic Centimeter and Carat 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
carats per cup = ounces per cubic centimeter × 33535.8184088
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cubic centimeter equals 28349.523125 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct ounce per cubic centimeter-to-carat per cup factor of 33535.8184088.
Simple example
1 oz/cm3 × 33535.81841 = 33,535.81841 ct/cup
1 ounce per cubic centimeter = 33,535.81841 carats per cup.
Real-world example
1,000 oz/cm3 × 33535.81841 = 33,535,818.41 ct/cup
1,000 ounces per cubic centimeter = 33,535,818.41 carats per cup.
Conversion table
| Ounce per Cubic Centimeter (oz/cm3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz/cm3 | 3,353.581841 ct/cup |
| 1 oz/cm3 | 33,535.81841 ct/cup |
| 10 oz/cm3 | 335,358.1841 ct/cup |
| 100 oz/cm3 | 3,353,581.841 ct/cup |
| 1,000 oz/cm3 | 33,535,818.41 ct/cup |
| 10,000 oz/cm3 | 335,358,184.1 ct/cup |
Reverse conversion: Carat per Cup to Ounce per Cubic Centimeter
1 ct/cup × 0.00002981886375 = 0.0000298189 oz/cm3
1 carat per cup = 0.0000298189 ounces per cubic centimeter.
ounces per cubic centimeter = carats per cup × 0.0000298188637537
For a page dedicated to this direction, see Carat per Cup to Ounce per Cubic Centimeter.
Understanding the Ounce per Cubic Centimeter (oz/cm3)
Mass per volume density.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 ounce per cubic centimeter?
1 ounce per cubic centimeter equals 33,535.81841 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cubic centimeter to carat per cup?
Multiply the ounce per cubic centimeter value by 33535.81841. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to ounce per cubic centimeter?
Use the reverse factor: 1 carat per cup equals 0.0000298189 ounces per cubic centimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cubic centimeter?
Ounce per Cubic Centimeter (oz/cm3) is a unit of density.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the ounce per cubic centimeter to carat per cup conversion exact?
Yes. Both ounce per cubic centimeter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 33535.81841 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.