Mass per volume density.
Pound per Cubic inches to Carats per Cubic foot Converter — lb/in3 to ct/ft3
Convert Pound per Cubic inch (lb/in3) to Carat per Cubic foot (ct/ft3) using the exact conversion factor (1 pound per cubic inch = 3,919,038.077 carat per cubic foot). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Carats 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 27679.90471 / 0.007062933344.
Density uses kilograms per cubic meter as the base unit.
Reserved above the conversion cards and below the converter.
About Converting Pound per Cubic inches to Carats per Cubic foot
Pound per Cubic inch and Carat 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. Pound per Cubic inch is most often used for used in machining and materials engineering, particularly for describing the density of metals, where a smaller volume unit than the cubic foot gives a more convenient figure.
Formula
carats per cubic foot = pound per cubic inches × 3919038.0768
This factor comes from each unit's defined relationship to the category's base unit: 1 pound per cubic inch equals 27679.9047102 base units, and 1 carat per cubic foot equals 0.0070629333443 base units, so dividing one by the other gives the direct pound per cubic inch-to-carat per cubic foot factor of 3919038.0768.
Simple example
1 lb/in3 × 3919038.077 = 3,919,038.077 ct/ft3
1 pound per cubic inch = 3,919,038.077 carats per cubic foot.
Real-world example
1,000 lb/in3 × 3919038.077 = 3,919,038,077 ct/ft3
1,000 pound per cubic inches = 3,919,038,077 carats per cubic foot.
Conversion table
| Pound per Cubic inch (lb/in3) | Carat per Cubic foot (ct/ft3) |
|---|---|
| 0.1 lb/in3 | 391,903.8077 ct/ft3 |
| 1 lb/in3 | 3,919,038.077 ct/ft3 |
| 10 lb/in3 | 39,190,380.77 ct/ft3 |
| 100 lb/in3 | 391,903,807.7 ct/ft3 |
| 1,000 lb/in3 | 3,919,038,077 ct/ft3 |
| 10,000 lb/in3 | 39,190,380,770 ct/ft3 |
Reverse conversion: Carat per Cubic foot to Pound per Cubic inch
1 ct/ft3 × 2.551647e-7 = 2.551647e-7 lb/in3
1 carat per cubic foot = 2.551647e-7 pound per cubic inches.
pound per cubic inches = carats per cubic foot × 2.551647e-7
For a page dedicated to this direction, see Carat per Cubic foot to Pound per Cubic inch.
Understanding the Pound per Cubic inch
Pound per Cubic inch (lb/in3) measures density. A US customary density unit suited to describing dense materials in a small volume. It is classified as a US customary density unit.
Where it's used: United States
Uses of the Pound per Cubic inch today
- Used in machining and materials engineering, particularly for describing the density of metals, where a smaller volume unit than the cubic foot gives a more convenient figure
Understanding the Carat per Cubic foot (ct/ft3)
Mass per volume density.
Pound per Cubic inch — sources
- US materials-engineering reference tables — Pounds per cubic inch is a commonly tabulated density unit for metals in US machining and materials references.
Reserved between the cards and the FAQ so the page stays balanced.
Frequently asked questions
How many carats per cubic foot are in 1 pound per cubic inch?
1 pound per cubic inch equals 3,919,038.077 carats per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to carat per cubic foot?
Multiply the pound per cubic inch value by 3919038.077. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic foot back to pound per cubic inch?
Use the reverse factor: 1 carat per cubic foot equals 2.551647e-7 pound per cubic inches. You can also use the swap control in the converter above to flip the direction instantly.
What is a pound per cubic inch?
Pound per Cubic inch (lb/in3) measures density. A US customary density unit suited to describing dense materials in a small volume. It is classified as a US customary density unit.
What is a carat per cubic foot?
Carat per Cubic foot (ct/ft3) is a unit of density.
Is the pound per cubic inch to carat per cubic foot conversion exact?
Yes. Both pound per cubic inch and carat per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 3919038.077 used above is exact to as many digits as you choose to display.
Where is the pound per cubic inch still used today?
United States
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.