Mass per volume density.
Carats per Cubic foot to Grains per Cup Converter — ct/ft3 to gr/cup
Convert Carat per Cubic foot (ct/ft3) to Grain per Cup (gr/cup) using the exact conversion factor (1 carat per cubic foot = 0.025787578 grain per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Grains 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 / 0.2738889767.
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 Grains per Cup
Carat per Cubic foot and Grain 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
grains per cup = carats per cubic foot × 0.0257875779769
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 grain per cup equals 0.273888976724 base units, so dividing one by the other gives the direct carat per cubic foot-to-grain per cup factor of 0.0257875779769.
Simple example
1 ct/ft3 × 0.02578757798 = 0.025787578 gr/cup
1 carat per cubic foot = 0.025787578 grains per cup.
Real-world example
1,000 ct/ft3 × 0.02578757798 = 25.78757798 gr/cup
1,000 carats per cubic foot = 25.78757798 grains per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Grain per Cup (gr/cup) |
|---|---|
| 0.1 ct/ft3 | 0.0025787578 gr/cup |
| 1 ct/ft3 | 0.025787578 gr/cup |
| 10 ct/ft3 | 0.2578757798 gr/cup |
| 100 ct/ft3 | 2.578757798 gr/cup |
| 1,000 ct/ft3 | 25.78757798 gr/cup |
| 10,000 ct/ft3 | 257.8757798 gr/cup |
Reverse conversion: Grain per Cup to Carat per Cubic foot
0.025787578 gr/cup × 38.77836069 = 1.000000001 ct/ft3
0.025787578 grains per cup = 1.000000001 carats per cubic foot.
carats per cubic foot = grains per cup × 38.7783606857
For a page dedicated to this direction, see Grain per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Grain per Cup (gr/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cup are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.025787578 grains per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to grain per cup?
Multiply the carat per cubic foot value by 0.02578757798. The converter above does this instantly to whatever precision you set.
How do I convert grain per cup back to carat per cubic foot?
Use the reverse factor: 1 grain per cup equals 38.77836069 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 grain per cup?
Grain per Cup (gr/cup) is a unit of density.
Is the carat per cubic foot to grain per cup conversion exact?
Yes. Both carat per cubic foot and grain per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.02578757798 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.