Mass per volume density.
Carats per Cubic foot to Carats per Cup Converter — ct/ft3 to ct/cup
Convert Carat per Cubic foot (ct/ft3) to Carat per Cup (ct/cup) using the exact conversion factor (1 carat per cubic foot = 0.0083550347 carat per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot 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 0.007062933344 / 0.8453505675.
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 Carats per Cup
Carat per Cubic foot 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 = carats per cubic foot × 0.00835503472222
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 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct carat per cubic foot-to-carat per cup factor of 0.00835503472222.
Simple example
1 ct/ft3 × 0.008355034722 = 0.0083550347 ct/cup
1 carat per cubic foot = 0.0083550347 carats per cup.
Real-world example
1,000 ct/ft3 × 0.008355034722 = 8.355034722 ct/cup
1,000 carats per cubic foot = 8.355034722 carats per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0008355035 ct/cup |
| 1 ct/ft3 | 0.0083550347 ct/cup |
| 10 ct/ft3 | 0.0835503472 ct/cup |
| 100 ct/ft3 | 0.8355034722 ct/cup |
| 1,000 ct/ft3 | 8.355034722 ct/cup |
| 10,000 ct/ft3 | 83.55034722 ct/cup |
Reverse conversion: Carat per Cup to Carat per Cubic foot
0.0083550347 ct/cup × 119.6883117 = 0.9999999973 ct/ft3
0.0083550347 carats per cup = 0.9999999973 carats per cubic foot.
carats per cubic foot = carats per cup × 119.688311688
For a page dedicated to this direction, see Carat per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
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 carat per cubic foot?
1 carat per cubic foot equals 0.0083550347 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to carat per cup?
Multiply the carat per cubic foot value by 0.008355034722. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to carat per cubic foot?
Use the reverse factor: 1 carat per cup equals 119.6883117 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 carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the carat per cubic foot to carat per cup conversion exact?
Yes. Both carat per cubic foot and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.008355034722 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.