Mass per volume density.
Carats per Cubic foot to Centigrams per Cup Converter — ct/ft3 to cg/cup
Convert Carat per Cubic foot (ct/ft3) to Centigram per Cup (cg/cup) using the exact conversion factor (1 carat per cubic foot = 0.1671006944 centigram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Centigrams 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 / 0.04226752838.
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 Centigrams per Cup
Carat per Cubic foot and Centigram 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
centigrams per cup = carats per cubic foot × 0.167100694444
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 centigram per cup equals 0.0422675283773 base units, so dividing one by the other gives the direct carat per cubic foot-to-centigram per cup factor of 0.167100694444.
Simple example
1 ct/ft3 × 0.1671006944 = 0.1671006944 cg/cup
1 carat per cubic foot = 0.1671006944 centigrams per cup.
Real-world example
1,000 ct/ft3 × 0.1671006944 = 167.1006944 cg/cup
1,000 carats per cubic foot = 167.1006944 centigrams per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Centigram per Cup (cg/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0167100694 cg/cup |
| 1 ct/ft3 | 0.1671006944 cg/cup |
| 10 ct/ft3 | 1.671006944 cg/cup |
| 100 ct/ft3 | 16.71006944 cg/cup |
| 1,000 ct/ft3 | 167.1006944 cg/cup |
| 10,000 ct/ft3 | 1,671.006944 cg/cup |
Reverse conversion: Centigram per Cup to Carat per Cubic foot
0.1671006944 cg/cup × 5.984415584 = 0.9999999997 ct/ft3
0.1671006944 centigrams per cup = 0.9999999997 carats per cubic foot.
carats per cubic foot = centigrams per cup × 5.98441558442
For a page dedicated to this direction, see Centigram per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Centigram per Cup (cg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many centigrams per cup are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.1671006944 centigrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to centigram per cup?
Multiply the carat per cubic foot value by 0.1671006944. The converter above does this instantly to whatever precision you set.
How do I convert centigram per cup back to carat per cubic foot?
Use the reverse factor: 1 centigram per cup equals 5.984415584 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 centigram per cup?
Centigram per Cup (cg/cup) is a unit of density.
Is the carat per cubic foot to centigram per cup conversion exact?
Yes. Both carat per cubic foot and centigram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.1671006944 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.