Mass per volume density.
Carats per Cup to Carats per Cubic foot Converter — ct/cup to ct/ft3
Convert Carat per Cup (ct/cup) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 carat per cup = 119.6883117 carat per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cup to Carats per Cubic foot 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 / 0.007062933344.
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 Carats per Cubic foot
Carat per Cup and Carat per Cubic foot 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 cubic foot = carats per cup × 119.688311688
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 carat per cubic foot equals 0.0070629333443 base units, so dividing one by the other gives the direct carat per cup-to-carat per cubic foot factor of 119.688311688.
Simple example
1 ct/cup × 119.6883117 = 119.6883117 ct/ft3
1 carat per cup = 119.6883117 carats per cubic foot.
Real-world example
1,000 ct/cup × 119.6883117 = 119,688.3117 ct/ft3
1,000 carats per cup = 119,688.3117 carats per cubic foot.
Conversion table
| Carat per Cup (ct/cup) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 ct/cup | 11.96883117 ct/ft3 |
| 1 ct/cup | 119.6883117 ct/ft3 |
| 10 ct/cup | 1,196.883117 ct/ft3 |
| 100 ct/cup | 11,968.83117 ct/ft3 |
| 1,000 ct/cup | 119,688.3117 ct/ft3 |
| 10,000 ct/cup | 1,196,883.117 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Carat per Cup
119.6883117 ct/ft3 × 0.008355034722 = 1 ct/cup
119.6883117 carats per cubic foot = 1 carats per cup.
carats per cup = carats per cubic foot × 0.00835503472222
For a page dedicated to this direction, see Carat per Cubic foot to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic foot are in 1 carat per cup?
1 carat per cup equals 119.6883117 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to carat per cubic foot?
Multiply the carat per cup value by 119.6883117. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to carat per cup?
Use the reverse factor: 1 carat per cubic foot equals 0.0083550347 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 carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
Is the carat per cup to carat per cubic foot conversion exact?
Yes. Both carat per cup and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 119.6883117 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.