Mass per volume density.
Carats per Cubic foot to Pounds per Cup Converter — ct/ft3 to lb/cup
Convert Carat per Cubic foot (ct/ft3) to Pound per Cup (lb/cup) using the exact conversion factor (1 carat per cubic foot = 0.0000036839 pound per cup). See the formula, worked examples, and conversion table.
Carats per Cubic foot to Pounds 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 / 1917.222837.
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 Pounds per Cup
Carat per Cubic foot and Pound 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
pounds per cup = carats per cubic foot × 0.00000368393971099
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 pound per cup equals 1917.22283707 base units, so dividing one by the other gives the direct carat per cubic foot-to-pound per cup factor of 0.00000368393971099.
Simple example
1 ct/ft3 × 0.000003683939711 = 0.0000036839 lb/cup
1 carat per cubic foot = 0.0000036839 pounds per cup.
Real-world example
1,000 ct/ft3 × 0.000003683939711 = 0.0036839397 lb/cup
1,000 carats per cubic foot = 0.0036839397 pounds per cup.
Conversion table
| Carat per Cubic foot (ct/ft3) | Pound per Cup (lb/cup) |
|---|---|
| 0.1 ct/ft3 | 3.68394e-7 lb/cup |
| 1 ct/ft3 | 0.0000036839 lb/cup |
| 10 ct/ft3 | 0.0000368394 lb/cup |
| 100 ct/ft3 | 0.000368394 lb/cup |
| 1,000 ct/ft3 | 0.0036839397 lb/cup |
| 10,000 ct/ft3 | 0.0368393971 lb/cup |
Reverse conversion: Pound per Cup to Carat per Cubic foot
0.0000036839 lb/cup × 271448.5248 = 0.9999892205 ct/ft3
0.0000036839 pounds per cup = 0.9999892205 carats per cubic foot.
carats per cubic foot = pounds per cup × 271448.5248
For a page dedicated to this direction, see Pound per Cup to Carat per Cubic foot.
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Understanding the Pound per Cup (lb/cup)
Mass per volume density.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many pounds per cup are in 1 carat per cubic foot?
1 carat per cubic foot equals 0.0000036839 pounds per cup, using the exact defined conversion factor rather than an estimate.
How do I convert carat per cubic foot to pound per cup?
Multiply the carat per cubic foot value by 0.000003683939711. The converter above does this instantly to whatever precision you set.
How do I convert pound per cup back to carat per cubic foot?
Use the reverse factor: 1 pound per cup equals 271,448.5248 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 pound per cup?
Pound per Cup (lb/cup) is a unit of density.
Is the carat per cubic foot to pound per cup conversion exact?
Yes. Both carat per cubic foot and pound per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.000003683939711 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.