Mass per volume density.
Pound per Cubic inches to Carats per Cubic Millimeter Converter — lb/in3 to ct/mm3
Convert Pound per Cubic inch (lb/in3) to Carat per Cubic Millimeter (ct/mm3) using the exact conversion factor (1 pound per cubic inch = 0.1383995236 carat per cubic millimeter). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Carats per Cubic Millimeter 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 / 200000.
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 Millimeter
Pound per Cubic inch and Carat per Cubic Millimeter 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 millimeter = pound per cubic inches × 0.138399523551
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 millimeter equals 200000 base units, so dividing one by the other gives the direct pound per cubic inch-to-carat per cubic millimeter factor of 0.138399523551.
Simple example
1 lb/in3 × 0.1383995236 = 0.1383995236 ct/mm3
1 pound per cubic inch = 0.1383995236 carats per cubic millimeter.
Real-world example
1,000 lb/in3 × 0.1383995236 = 138.3995236 ct/mm3
1,000 pound per cubic inches = 138.3995236 carats per cubic millimeter.
Conversion table
| Pound per Cubic inch (lb/in3) | Carat per Cubic Millimeter (ct/mm3) |
|---|---|
| 0.1 lb/in3 | 0.0138399524 ct/mm3 |
| 1 lb/in3 | 0.1383995236 ct/mm3 |
| 10 lb/in3 | 1.383995236 ct/mm3 |
| 100 lb/in3 | 13.83995236 ct/mm3 |
| 1,000 lb/in3 | 138.3995236 ct/mm3 |
| 10,000 lb/in3 | 1,383.995236 ct/mm3 |
Reverse conversion: Carat per Cubic Millimeter to Pound per Cubic inch
0.1383995236 ct/mm3 × 7.2254584 = 1 lb/in3
0.1383995236 carats per cubic millimeter = 1 pound per cubic inches.
pound per cubic inches = carats per cubic millimeter × 7.22545840002
For a page dedicated to this direction, see Carat per Cubic Millimeter 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 Millimeter (ct/mm3)
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 millimeter are in 1 pound per cubic inch?
1 pound per cubic inch equals 0.1383995236 carats per cubic millimeter, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to carat per cubic millimeter?
Multiply the pound per cubic inch value by 0.1383995236. The converter above does this instantly to whatever precision you set.
How do I convert carat per cubic millimeter back to pound per cubic inch?
Use the reverse factor: 1 carat per cubic millimeter equals 7.2254584 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 millimeter?
Carat per Cubic Millimeter (ct/mm3) is a unit of density.
Is the pound per cubic inch to carat per cubic millimeter conversion exact?
Yes. Both pound per cubic inch and carat per cubic millimeter are defined by fixed standards rather than physical artifacts, so the factor of 0.1383995236 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.