Mass per volume density.
Grams per Cubic foot to Carats per Cup Converter — g/ft3 to ct/cup
Convert Gram per Cubic foot (g/ft3) to Carat per Cup (ct/cup) using the exact conversion factor (1 gram per cubic foot = 0.0417751736 carat per cup). See the formula, worked examples, conversion table, and common uses.
Grams 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 0.03531466672 / 0.8453505675.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Grams per Cubic foot to Carats per Cup
Gram 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. Gram per Cubic foot is most often used for can be used to express the density of low-density materials such as insulation foam, packaging material, or gas concentration by volume — for typical solid or liquid materials, kilograms per cubic meter or pounds per cubic foot are more commonly encountered.
Formula
carats per cup = grams per cubic foot × 0.0417751736111
This factor comes from each unit's defined relationship to the category's base unit: 1 gram per cubic foot equals 0.0353146667215 base units, and 1 carat per cup equals 0.845350567546 base units, so dividing one by the other gives the direct gram per cubic foot-to-carat per cup factor of 0.0417751736111.
Simple example
1 g/ft3 × 0.04177517361 = 0.0417751736 ct/cup
1 gram per cubic foot = 0.0417751736 carats per cup.
Real-world example
1,000 g/ft3 × 0.04177517361 = 41.77517361 ct/cup
1,000 grams per cubic foot = 41.77517361 carats per cup.
Conversion table
| Gram per Cubic foot (g/ft3) | Carat per Cup (ct/cup) |
|---|---|
| 0.1 g/ft3 | 0.0041775174 ct/cup |
| 1 g/ft3 | 0.0417751736 ct/cup |
| 10 g/ft3 | 0.4177517361 ct/cup |
| 100 g/ft3 | 4.177517361 ct/cup |
| 1,000 g/ft3 | 41.77517361 ct/cup |
| 10,000 g/ft3 | 417.7517361 ct/cup |
Reverse conversion: Carat per Cup to Gram per Cubic foot
0.0417751736 ct/cup × 23.93766234 = 0.9999999997 g/ft3
0.0417751736 carats per cup = 0.9999999997 grams per cubic foot.
grams per cubic foot = carats per cup × 23.9376623377
For a page dedicated to this direction, see Carat per Cup to Gram per Cubic foot.
Understanding the Gram per Cubic foot
Gram per Cubic foot (g/ft3) measures density. A gram is a small mass unit and a cubic foot a comparatively large volume, so this combination naturally suits low-density materials rather than typical solids or liquids. It is classified as a mixed metric/US customary density unit.
Uses of the Gram per Cubic foot today
- Can be used to express the density of low-density materials such as insulation foam, packaging material, or gas concentration by volume — for typical solid or liquid materials, kilograms per cubic meter or pounds per cubic foot are more commonly encountered
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Gram per Cubic foot — sources
- BIPM SI Brochure — Gram and cubic foot as units combinable to express density, though not a standard industry pairing for general materials.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cup are in 1 gram per cubic foot?
1 gram per cubic foot equals 0.0417751736 carats per cup, using the exact defined conversion factor rather than an estimate.
How do I convert gram per cubic foot to carat per cup?
Multiply the gram per cubic foot value by 0.04177517361. The converter above does this instantly to whatever precision you set.
How do I convert carat per cup back to gram per cubic foot?
Use the reverse factor: 1 carat per cup equals 23.93766234 grams per cubic foot. You can also use the swap control in the converter above to flip the direction instantly.
What is a gram per cubic foot?
Gram per Cubic foot (g/ft3) measures density. A gram is a small mass unit and a cubic foot a comparatively large volume, so this combination naturally suits low-density materials rather than typical solids or liquids. It is classified as a mixed metric/US customary density unit.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
Is the gram per cubic foot to carat per cup conversion exact?
Yes. Both gram per cubic foot and carat per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.04177517361 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.