Mass per volume density.
Carats per Cup to Grains per Cubic foot Converter — ct/cup to gr/ft3
Convert Carat per Cup (ct/cup) to Grain per Cubic foot (gr/ft3) using the exact conversion factor (1 carat per cup = 369.4145833 grain per cubic foot). See the formula, worked examples, and conversion table.
Carats per Cup to Grains 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 / 0.002288351911.
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 Grains per Cubic foot
Carat per Cup and Grain 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
grains per cubic foot = carats per cup × 369.414583327
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 grain per cubic foot equals 0.00228835191057 base units, so dividing one by the other gives the direct carat per cup-to-grain per cubic foot factor of 369.414583327.
Simple example
1 ct/cup × 369.4145833 = 369.4145833 gr/ft3
1 carat per cup = 369.4145833 grains per cubic foot.
Real-world example
1,000 ct/cup × 369.4145833 = 369,414.5833 gr/ft3
1,000 carats per cup = 369,414.5833 grains per cubic foot.
Conversion table
| Carat per Cup (ct/cup) | Grain per Cubic foot (gr/ft3) |
|---|---|
| 0.1 ct/cup | 36.94145833 gr/ft3 |
| 1 ct/cup | 369.4145833 gr/ft3 |
| 10 ct/cup | 3,694.145833 gr/ft3 |
| 100 ct/cup | 36,941.45833 gr/ft3 |
| 1,000 ct/cup | 369,414.5833 gr/ft3 |
| 10,000 ct/cup | 3,694,145.833 gr/ft3 |
Reverse conversion: Grain per Cubic foot to Carat per Cup
369.4145833 gr/ft3 × 0.002706985715 = 0.9999999999 ct/cup
369.4145833 grains per cubic foot = 0.9999999999 carats per cup.
carats per cup = grains per cubic foot × 0.00270698571506
For a page dedicated to this direction, see Grain per Cubic foot to Carat per Cup.
Understanding the Carat per Cup (ct/cup)
Mass per volume density.
Understanding the Grain per Cubic foot (gr/ft3)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many grains per cubic foot are in 1 carat per cup?
1 carat per cup equals 369.4145833 grains per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cup to grain per cubic foot?
Multiply the carat per cup value by 369.4145833. The converter above does this instantly to whatever precision you set.
How do I convert grain per cubic foot back to carat per cup?
Use the reverse factor: 1 grain per cubic foot equals 0.0027069857 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 grain per cubic foot?
Grain per Cubic foot (gr/ft3) is a unit of density.
Is the carat per cup to grain per cubic foot conversion exact?
Yes. Both carat per cup and grain per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 369.4145833 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.