Mass per volume density.
Pound per Cubic inches to Slugs per Cubic foot Converter — lb/in3 to slug/ft3
Convert Pound per Cubic inch (lb/in3) to Slug per Cubic foot (slug/ft3) using the exact conversion factor (1 pound per cubic inch = 53.7078819 slug per cubic foot). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Slugs 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 / 515.3788184.
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 Slugs per Cubic foot
Pound per Cubic inch and Slug 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
slugs per cubic foot = pound per cubic inches × 53.7078818965
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 slug per cubic foot equals 515.378818393 base units, so dividing one by the other gives the direct pound per cubic inch-to-slug per cubic foot factor of 53.7078818965.
Simple example
1 lb/in3 × 53.7078819 = 53.7078819 slug/ft3
1 pound per cubic inch = 53.7078819 slugs per cubic foot.
Real-world example
1,000 lb/in3 × 53.7078819 = 53,707.8819 slug/ft3
1,000 pound per cubic inches = 53,707.8819 slugs per cubic foot.
Conversion table
| Pound per Cubic inch (lb/in3) | Slug per Cubic foot (slug/ft3) |
|---|---|
| 0.1 lb/in3 | 5.37078819 slug/ft3 |
| 1 lb/in3 | 53.7078819 slug/ft3 |
| 10 lb/in3 | 537.078819 slug/ft3 |
| 100 lb/in3 | 5,370.78819 slug/ft3 |
| 1,000 lb/in3 | 53,707.8819 slug/ft3 |
| 10,000 lb/in3 | 537,078.819 slug/ft3 |
Reverse conversion: Slug per Cubic foot to Pound per Cubic inch
53.7078819 slug/ft3 × 0.01861924106 = 1 lb/in3
53.7078819 slugs per cubic foot = 1 pound per cubic inches.
pound per cubic inches = slugs per cubic foot × 0.0186192410627
For a page dedicated to this direction, see Slug 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 Slug per Cubic foot (slug/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 slugs per cubic foot are in 1 pound per cubic inch?
1 pound per cubic inch equals 53.7078819 slugs per cubic foot, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to slug per cubic foot?
Multiply the pound per cubic inch value by 53.7078819. The converter above does this instantly to whatever precision you set.
How do I convert slug per cubic foot back to pound per cubic inch?
Use the reverse factor: 1 slug per cubic foot equals 0.0186192411 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 slug per cubic foot?
Slug per Cubic foot (slug/ft3) is a unit of density.
Is the pound per cubic inch to slug per cubic foot conversion exact?
Yes. Both pound per cubic inch and slug per cubic foot are defined by fixed standards rather than physical artifacts, so the factor of 53.7078819 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.