Mass per volume density.
Carats per Cubic foot to Grams per Cup Converter — ct/ft3 to g/cup
Convert Carat per Cubic foot (ct/ft3) to Gram per Cup (g/cup) using the exact conversion factor (1 carat per cubic foot = 0.0016710069 gram per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Grams 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 / 4.226752838.
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 Grams per Cup
Carat per Cubic foot and Gram 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
grams per cup = carats per cubic foot × 0.00167100694444
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 gram per cup equals 4.22675283773 base units, so dividing one by the other gives the direct carat per cubic foot-to-gram per cup factor of 0.00167100694444.
Simple example
1 ct/ft3 × 0.001671006944 = 0.0016710069 g/cup
1 carat per cubic foot = 0.0016710069 grams per cup.
Real-world example
1,000 ct/ft3 × 0.001671006944 = 1.671006944 g/cup
1,000 carats per cubic foot = 1.671006944 grams per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Gram per Cup (g/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0001671007 g/cup |
| 1 ct/ft3 | 0.0016710069 g/cup |
| 10 ct/ft3 | 0.0167100694 g/cup |
| 100 ct/ft3 | 0.1671006944 g/cup |
| 1,000 ct/ft3 | 1.671006944 g/cup |
| 10,000 ct/ft3 | 16.71006944 g/cup |
Reverse conversion: Gram per Cup to Carat per Cubic foot
0.0016710069 g/cup × 598.4415584 = 0.9999999734 ct/ft3
0.0016710069 grams per cup = 0.9999999734 carats per cubic foot.
carats per cubic foot = grams per cup × 598.441558442
For a page dedicated to this direction, see Gram per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Gram per Cup (g/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grams per cup are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.0016710069 grams per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to gram per cup?
Multiply the carat per cubic foot value by 0.001671006944. The converter above does this instantly to whatever precision you set.
How do I convert gram per cup back to carat per cubic foot?
Use the reverse factor: 1 gram per cup equals 598.4415584 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 gram per cup?
Gram per Cup (g/cup) is a unit of density.
Is the carat per cubic foot to gram per cup conversion exact?
Yes. Both carat per cubic foot and gram per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.001671006944 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.