Convert Pounds per Cubic Foot to Pounds per Cubic Inch
1 pound per cubic foot (lb/ft³) equals 0.0005787037037 pounds per cubic inch (lb/in³).
1 lb/ft³ = 0.0005787037037 lb/in³
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk pound per cubic foot to pound per cubic inch converter to paste a column from Excel.
How to Convert Pound per Cubic Foot to Pound per Cubic Inch
- 1 lb/ft³ = 0.0005787037037 lb/in³
- 1 lb/in³ = 1728 lb/ft³
- Example: convert 15 lb/ft³ to lb/in³: 15 lb/ft³ = 15 × 0.0005787037037 lb/in³ = 0.008680555556 lb/in³
Formula
lb/in³ = lb/ft³ ÷ 1728
Derivation from SI units:
- 1 lb/ft³ = 0.45359237 kg ÷ 0.028316846592 m³ = 16.018463374 kg/m³
- 1 lb/in³ = 0.45359237 kg ÷ 1.6387064 × 10⁻⁵ m³ = 27 679.9047 kg/m³
- 1 lb/ft³ = 16.01846337396 kg/m³ ÷ 27679.9047102 kg/m³ per lb/in³ = 0.0005787037037037 lb/in³
Both units are defined exactly, so the factor is exact. Pound per Cubic Foot definition: pound per cubic foot; Pound per Cubic Inch definition: pound per cubic inch.
Worked examples
- A reading of 30 lb/ft³ converts to 0.01736111111 lb/in³.
30 lb/ft³ × 0.0005787037037 = 0.01736111111 lb/in³ - A value of 110 lb/ft³ is 0.06365740741 lb/in³.
110 lb/ft³ × 0.0005787037037 = 0.06365740741 lb/in³
Pound per Cubic Foot to Pound per Cubic Inch conversion table
| Pounds per Cubic Foot (lb/ft³) | Pounds per Cubic Inch (lb/in³) |
|---|---|
| 0.075 lb/ft³ | 0.00004340277778 lb/in³ |
| 1 lb/ft³ | 0.0005787037037 lb/in³ |
| 2 lb/ft³ | 0.001157407407 lb/in³ |
| 10 lb/ft³ | 0.005787037037 lb/in³ |
| 30 lb/ft³ | 0.01736111111 lb/in³ |
| 40 lb/ft³ | 0.02314814815 lb/in³ |
| 62.4 lb/ft³ | 0.03611111111 lb/in³ |
| 64 lb/ft³ | 0.03703703704 lb/in³ |
| 100 lb/ft³ | 0.05787037037 lb/in³ |
| 110 lb/ft³ | 0.06365740741 lb/in³ |
| 145 lb/ft³ | 0.08391203704 lb/in³ |
| 150 lb/ft³ | 0.08680555556 lb/in³ |
| 170 lb/ft³ | 0.09837962963 lb/in³ |
| 490 lb/ft³ | 0.2835648148 lb/in³ |
Where it's used
Pounds per Cubic Foot are used for concrete, soil and aggregate densities (normal concrete ≈ 145–150 pcf), while pounds per cubic inch appear in metal densities (steel ≈ 0.284 lb/in³, aluminium ≈ 0.098 lb/in³). Both measure density (mass per unit volume) and mass concentration, so the conversion is a fixed factor.
Pound per Cubic Foot to other density units
| Conversion | 1 lb/ft³ equals |
|---|---|
| pound per cubic foot to kilogram per cubic meter | 16.01846337 kg/m³ |
| pound per cubic foot to gram per cubic centimeter | 0.01601846337 g/cm³ |
| pound per cubic foot to kilogram per liter | 0.01601846337 kg/L |
| pound per cubic foot to gram per liter | 16.01846337 g/L |
| pound per cubic foot to milligram per liter | 16018.46337 mg/L |
| pound per cubic foot to pound per cubic inch | 0.0005787037037 lb/in³ |
| pound per cubic foot to pound per gallon | 0.1336805556 lb/gal |
Frequently asked questions
How many pounds per cubic inch are in 1 pound per cubic foot?
1 lb/ft³ = 0.0005787037037 lb/in³.
How do I convert pounds per cubic foot to pounds per cubic inch?
Multiply the value in lb/ft³ by 0.0005787037037, or divide it by 1728. For example, 15 lb/ft³ × 0.0005787037037 = 0.008680555556 lb/in³.
Is the lb/ft³ to lb/in³ conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "pound per cubic foot (lb/ft³)".
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 Edition, National Institute of Standards and Technology , Appendix B.8, "pound per cubic inch (lb/in³)".
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Pounds per Cubic Foot to Pounds per Cubic Inch. Retrieved October 17, 2026, from https://scientificconverters.com/density/pounds-per-cubic-foot-to-pounds-per-cubic-inch/
IEEE
Scientific Converters, "Convert Pounds per Cubic Foot to Pounds per Cubic Inch," scientificconverters.com. Accessed: Oct. 17, 2026. [Online]. Available: https://scientificconverters.com/density/pounds-per-cubic-foot-to-pounds-per-cubic-inch/