Mass per volume density.
Carats per Cubic foot to Ounces per Cup Converter — ct/ft3 to oz/cup
Convert Carat per Cubic foot (ct/ft3) to Ounce per Cup (oz/cup) using the exact conversion factor (1 carat per cubic foot = 0.000058943 ounce per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot 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 0.007062933344 / 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 foot to Ounces per Cup
Carat per Cubic foot 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 foot × 0.0000589430353758
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cubic foot equals 0.0070629333443 base units, and 1 ounce per cup equals 119.826427317 base units, so dividing one by the other gives the direct carat per cubic foot-to-ounce per cup factor of 0.0000589430353758.
Simple example
1 ct/ft3 × 0.00005894303538 = 0.000058943 oz/cup
1 carat per cubic foot = 0.000058943 ounces per cup.
Real-world example
1,000 ct/ft3 × 0.00005894303538 = 0.0589430354 oz/cup
1,000 carats per cubic foot = 0.0589430354 ounces per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Ounce per Cup (oz/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0000058943 oz/cup |
| 1 ct/ft3 | 0.000058943 oz/cup |
| 10 ct/ft3 | 0.0005894304 oz/cup |
| 100 ct/ft3 | 0.0058943035 oz/cup |
| 1,000 ct/ft3 | 0.0589430354 oz/cup |
| 10,000 ct/ft3 | 0.5894303538 oz/cup |
Reverse conversion: Ounce per Cup to Carat per Cubic foot
0.000058943 oz/cup × 16965.5328 = 0.9999993998 ct/ft3
0.000058943 ounces per cup = 0.9999993998 carats per cubic foot.
carats per cubic foot = ounces per cup × 16965.5328
For a page dedicated to this direction, see Ounce per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
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 foot?
1 carat per cubic foot equals 0.000058943 ounces per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to ounce per cup?
Multiply the carat per cubic foot value by 0.00005894303538. The converter above does this instantly to whatever precision you set.
How do I convert ounce per cup back to carat per cubic foot?
Use the reverse factor: 1 ounce per cup equals 16,965.5328 carats per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) 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 foot to ounce per cup conversion exact?
Yes. Both carat per cubic foot and ounce per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.00005894303538 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.