Mass per volume density.
Carats per Cup to Grams per Cubic foot Converter — ct/cup to g/ft3
Convert Carat per Cup (ct/cup) to Gram per Cubic foot (g/ft3) using the exact conversion factor (1 carat per cup = 23.93766234 gram per cubic foot). See the formula, worked examples, conversion table, and common uses.
Carats per Cup to Grams per Cubic foot 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 0.8453505675 / 0.03531466672.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Carats per Cup to Grams per Cubic foot
Carat per Cup and Gram per Cubic foot 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 cubic foot = carats per cup × 23.9376623377
This factor comes from each unit's defined relationship to the category's base unit: 1 carat per cup equals 0.845350567546 base units, and 1 gram per cubic foot equals 0.0353146667215 base units, so dividing one by the other gives the direct carat per cup-to-gram per cubic foot factor of 23.9376623377.
Simple example
1 ct/cup × 23.93766234 = 23.93766234 g/ft3
1 carat per cup = 23.93766234 grams per cubic foot.
Real-world example
1,000 ct/cup × 23.93766234 = 23,937.66234 g/ft3
1,000 carats per cup = 23,937.66234 grams per cubic foot.
Conversion table
| Carat per Cup (ct/cup) | Gram per Cubic foot (g/ft3) |
|---|---|
| 0.1 ct/cup | 2.393766234 g/ft3 |
| 1 ct/cup | 23.93766234 g/ft3 |
| 10 ct/cup | 239.3766234 g/ft3 |
| 100 ct/cup | 2,393.766234 g/ft3 |
| 1,000 ct/cup | 23,937.66234 g/ft3 |
| 10,000 ct/cup | 239,376.6234 g/ft3 |
Reverse conversion: Gram per Cubic foot to Carat per Cup
23.93766234 g/ft3 × 0.04177517361 = 1 ct/cup
23.93766234 grams per cubic foot = 1 carats per cup.
carats per cup = grams per cubic foot × 0.0417751736111
For a page dedicated to this direction, see Gram per Cubic foot to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
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
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 grams per cubic foot are in 1 carat per cup?
1 carat per cup equals 23.93766234 grams per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to gram per cubic foot?
Multiply the carat per cup value by 23.93766234. The converter above does this instantly to whatever precision you set.
How do I convert gram per cubic foot back to carat per cup?
Use the reverse factor: 1 gram per cubic foot equals 0.0417751736 carats per cup. You can also use the swap control in the converter above to flip the direction instantly.
What is a carat per cup?
Carat per Cup (ct/cup) is a unit of density.
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.
Is the carat per cup to gram per cubic foot conversion exact?
Yes. Both carat per cup and gram per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 23.93766234 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.