Mass per volume density.
Pound per Cubic inches to Slugs per Cup Converter — lb/in3 to slug/cup
Convert Pound per Cubic inch (lb/in3) to Slug per Cup (slug/cup) using the exact conversion factor (1 pound per cubic inch = 0.4487312181 slug per cup). See the formula, worked examples, conversion table, and common uses.
Pound per Cubic inches to Slugs 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 27679.90471 / 61684.82065.
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 Cup
Pound per Cubic inch and Slug 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. 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 cup = pound per cubic inches × 0.448731218102
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 cup equals 61684.8206534 base units, so dividing one by the other gives the direct pound per cubic inch-to-slug per cup factor of 0.448731218102.
Simple example
1 lb/in3 × 0.4487312181 = 0.4487312181 slug/cup
1 pound per cubic inch = 0.4487312181 slugs per cup.
Real-world example
1,000 lb/in3 × 0.4487312181 = 448.7312181 slug/cup
1,000 pound per cubic inches = 448.7312181 slugs per cup.
Conversion table
| Pound per Cubic inch (lb/in3) | Slug per Cup (slug/cup) |
|---|---|
| 0.1 lb/in3 | 0.0448731218 slug/cup |
| 1 lb/in3 | 0.4487312181 slug/cup |
| 10 lb/in3 | 4.487312181 slug/cup |
| 100 lb/in3 | 44.87312181 slug/cup |
| 1,000 lb/in3 | 448.7312181 slug/cup |
| 10,000 lb/in3 | 4,487.312181 slug/cup |
Reverse conversion: Slug per Cup to Pound per Cubic inch
0.4487312181 slug/cup × 2.228505528 = 1 lb/in3
0.4487312181 slugs per cup = 1 pound per cubic inches.
pound per cubic inches = slugs per cup × 2.22850552772
For a page dedicated to this direction, see Slug per Cup 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 Cup (slug/cup)
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 cup are in 1 pound per cubic inch?
1 pound per cubic inch equals 0.4487312181 slugs per cup, using the exact defined conversion factor rather than an estimate.
How do I convert pound per cubic inch to slug per cup?
Multiply the pound per cubic inch value by 0.4487312181. The converter above does this instantly to whatever precision you set.
How do I convert slug per cup back to pound per cubic inch?
Use the reverse factor: 1 slug per cup equals 2.228505528 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 cup?
Slug per Cup (slug/cup) is a unit of density.
Is the pound per cubic inch to slug per cup conversion exact?
Yes. Both pound per cubic inch and slug per cup are defined by fixed standards rather than physical artifacts, so the factor of 0.4487312181 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.