Mass per volume density.
Carats per Cubic foot to Decigrams per Cup Converter — ct/ft3 to dg/cup
Convert Carat per Cubic foot (ct/ft3) to Decigram per Cup (dg/cup) using the exact conversion factor (1 carat per cubic foot = 0.0167100694 decigram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Decigrams 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 / 0.4226752838.
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 Decigrams per Cup
Carat per Cubic foot and Decigram 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
decigrams per cup = carats per cubic foot × 0.0167100694444
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 decigram per cup equals 0.422675283773 base units, so dividing one by the other gives the direct carat per cubic foot-to-decigram per cup factor of 0.0167100694444.
Simple example
1 ct/ft3 × 0.01671006944 = 0.0167100694 dg/cup
1 carat per cubic foot = 0.0167100694 decigrams per cup.
Real-world example
1,000 ct/ft3 × 0.01671006944 = 16.71006944 dg/cup
1,000 carats per cubic foot = 16.71006944 decigrams per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Decigram per Cup (dg/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0016710069 dg/cup |
| 1 ct/ft3 | 0.0167100694 dg/cup |
| 10 ct/ft3 | 0.1671006944 dg/cup |
| 100 ct/ft3 | 1.671006944 dg/cup |
| 1,000 ct/ft3 | 16.71006944 dg/cup |
| 10,000 ct/ft3 | 167.1006944 dg/cup |
Reverse conversion: Decigram per Cup to Carat per Cubic foot
0.0167100694 dg/cup × 59.84415584 = 0.9999999973 ct/ft3
0.0167100694 decigrams per cup = 0.9999999973 carats per cubic foot.
carats per cubic foot = decigrams per cup × 59.8441558442
For a page dedicated to this direction, see Decigram per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Decigram per Cup (dg/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many decigrams per cup are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.0167100694 decigrams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to decigram per cup?
Multiply the carat per cubic foot value by 0.01671006944. The converter above does this instantly to whatever precision you set.
How do I convert decigram per cup back to carat per cubic foot?
Use the reverse factor: 1 decigram per cup equals 59.84415584 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 decigram per cup?
Decigram per Cup (dg/cup) is a unit of density.
Is the carat per cubic foot to decigram per cup conversion exact?
Yes. Both carat per cubic foot and decigram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.01671006944 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.