Mass per volume density.
Carats per Cubic Millimeter to Ounces per Cup Converter — ct/mm3 to oz/cup
Convert Carat per Cubic Millimeter (ct/mm3) to Ounce per Cup (oz/cup) using the exact conversion factor (1 carat per cubic millimeter = 1,669.08089 ounce per cup). See the formula, worked examples, and conversion table.
Carats per Cubic Millimeter to Ounces 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 200000 / 119.8264273.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cubic Millimeter to Ounces per Cup
Carat per Cubic Millimeter and Ounce 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
ounces per cup = carats per cubic millimeter × 1669.0808904
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic millimeter equals 200000 base units, and 1 ounce per cup equals 119.826427317 base units, so dividing one by the other gives the direct carat per cubic millimeter-to-ounce per cup factor of 1669.0808904.
Simple example
1 ct/mm3 × 1669.08089 = 1,669.08089 oz/cup
1 carat per cubic millimeter = 1,669.08089 ounces per cup.
Real-world example
1,000 ct/mm3 × 1669.08089 = 1,669,080.89 oz/cup
1,000 carats per cubic millimeter = 1,669,080.89 ounces per cup.
Conversion table
| Carat per Cubic Millimeter (ct/mm3) | Ounce per Cup (oz/cup) |
|---|---|
| 0.1 ct/mm3 | 166.908089 oz/cup |
| 1 ct/mm3 | 1,669.08089 oz/cup |
| 10 ct/mm3 | 16,690.8089 oz/cup |
| 100 ct/mm3 | 166,908.089 oz/cup |
| 1,000 ct/mm3 | 1,669,080.89 oz/cup |
| 10,000 ct/mm3 | 16,690,808.9 oz/cup |
Reverse conversion: Ounce per Cup to Carat per Cubic Millimeter
1 oz/cup × 0.0005991321366 = 0.0005991321 ct/mm3
1 ounce per cup = 0.0005991321 carats per cubic millimeter.
carats per cubic millimeter = ounces per cup × 0.000599132136584
For a page dedicated to this direction, see Ounce per Cup to Carat per Cubic Millimeter.
Understanding the Carat per Cubic Millimeter (ct/mm3)
Mass per volume density.
Understanding the Ounce per Cup (oz/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many ounces per cup are in 1 carat per cubic millimeter?
1 carat per cubic millimeter equals 1,669.08089 ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic millimeter to ounce per cup?
Multiply the carat per cubic millimeter value by 1669.08089. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cup back to carat per cubic millimeter?
Use the reverse factor: 1 ounce per cup equals 0.0005991321 carats per cubic millimeter. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
What is a ounce per cup?
Ounce per Cup (oz/cup) is a unit of density.
Is the carat per cubic millimeter to ounce per cup conversion exact?
Yes. Both carat per cubic millimeter and ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 1669.08089 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.