Mass per volume density.
Pound per Cubic inches to Carats per Cubic Meter Converter — lb/in3 to ct/m3
Convert Pound per Cubic inch (lb/in3) to Carat per Cubic Meter (ct/m3) using the exact conversion factor (1 pound per cubic inch = 138,399,523.6 carat per cubic meter). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Carats per Cubic Meter 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 / 0.0002.
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 Meter
Pound per Cubic inch and Carat per Cubic Meter 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 meter = pound per cubic inches × 138399523.551
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 meter equals 0.0002 base units, so dividing one by the other gives the direct pound per cubic inch-to-carat per cubic meter factor of 138399523.551.
Simple example
1 lb/in3 × 138399523.6 = 138,399,523.6 ct/m3
1 pound per cubic inch = 138,399,523.6 carats per cubic meter.
Real-world example
1,000 lb/in3 × 138399523.6 = 138,399,523,600 ct/m3
1,000 pound per cubic inches = 138,399,523,600 carats per cubic meter.
Conversion table
| Pound per Cubic inch (lb/in3) | Carat per Cubic Meter (ct/m3) |
|---|---|
| 0.1 lb/in3 | 13,839,952.36 ct/m3 |
| 1 lb/in3 | 138,399,523.6 ct/m3 |
| 10 lb/in3 | 1,383,995,236 ct/m3 |
| 100 lb/in3 | 13,839,952,360 ct/m3 |
| 1,000 lb/in3 | 138,399,523,600 ct/m3 |
| 10,000 lb/in3 | 1.383995e+12 ct/m3 |
Reverse conversion: Carat per Cubic Meter to Pound per Cubic inch
1 ct/m3 × 7.225458e-9 = 7.225458e-9 lb/in3
1 carat per cubic meter = 7.225458e-9 pound per cubic inches.
pound per cubic inches = carats per cubic meter × 7.225458e-9
For a page dedicated to this direction, see Carat per Cubic Meter 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 Meter (ct/m3)
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 meter are in 1 pound per cubic inch?
1 pound per cubic inch equals 138,399,523.6 carats per cubic meter, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to carat per cubic meter?
Multiply the pound per cubic inch value by 138399523.6. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic meter back to pound per cubic inch?
Use the reverse factor: 1 carat per cubic meter equals 7.225458e-9 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 meter?
Carat per Cubic Meter (ct/m3) is a unit of density.
Is the pound per cubic inch to carat per cubic meter conversion exact?
Yes. Both pound per cubic inch and carat per cubic meter are defined by fixed standards rather than physical artifacts, so the factor of 138399523.6 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.