Mass per volume density.
Ounces per Cubic Meter to Carats per Cup Converter — oz/m3 to ct/cup
Convert Ounce per Cubic Meter (oz/m3) to Carat per Cup (ct/cup) using the exact conversion factor (1 ounce per cubic meter = 0.0335358184 carat per cup). See the formula, worked examples, and conversion table.
Ounces per Cubic Meter 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 0.02834952313 / 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 Meter to Carats per Cup
Ounce per Cubic Meter 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 meter × 0.0335358184088
This factor comes from each unit's defined relationship to the category's base unit: 1 ounce per cubic meter equals 0.028349523125 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct ounce per cubic meter-to-carat per cup factor of 0.0335358184088.
Simple example
1 oz/m3 × 0.03353581841 = 0.0335358184 ct/cup
1 ounce per cubic meter = 0.0335358184 carats per cup.
Real-world example
1,000 oz/m3 × 0.03353581841 = 33.53581841 ct/cup
1,000 ounces per cubic meter = 33.53581841 carats per cup.
Conversion table
| Ounce per Cubic Meter (oz/m3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 oz/m3 | 0.0033535818 ct/cup |
| 1 oz/m3 | 0.0335358184 ct/cup |
| 10 oz/m3 | 0.3353581841 ct/cup |
| 100 oz/m3 | 3.353581841 ct/cup |
| 1,000 oz/m3 | 33.53581841 ct/cup |
| 10,000 oz/m3 | 335.3581841 ct/cup |
Reverse conversion: Carat per Cup to Ounce per Cubic Meter
0.0335358184 ct/cup × 29.81886375 = 0.9999999997 oz/m3
0.0335358184 carats per cup = 0.9999999997 ounces per cubic meter.
ounces per cubic meter = carats per cup × 29.8188637537
For a page dedicated to this direction, see Carat per Cup to Ounce per Cubic Meter.
Understanding the Ounce per Cubic Meter (oz/m3)
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 meter?
1 ounce per cubic meter equals 0.0335358184 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert ounce per cubic meter to carat per cup?
Multiply the ounce per cubic meter value by 0.03353581841. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to ounce per cubic meter?
Use the reverse factor: 1 carat per cup equals 29.81886375 ounces per cubic meter. You can also use the swap control in the converter above to flip the direction instantly.
What is a ounce per cubic meter?
Ounce per Cubic Meter (oz/m3) 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 meter to carat per cup conversion exact?
Yes. Both ounce per cubic meter and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.03353581841 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.