Convert Pounds-force per Cubic Foot to lbf/in³
1 pound-force per cubic foot (lbf/ft³) = 0.0005787037037 pounds-force per cubic inch (lbf/in³). 1 lbf/in³ = 1728 lbf/ft³. Example: 15 lbf/ft³ = 15 × 0.0005787037037 = 0.008680555556 lbf/in³.
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1 lbf/ft³ = 0.0005787037037 lbf/in³
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk pcf to pound-force per cubic inch converter to paste a column from Excel.
How to Convert Pound-force per Cubic Foot to Pound-force per Cubic Inch
- 1 lbf/ft³ = 0.0005787037037 lbf/in³
- 1 lbf/in³ = 1728 lbf/ft³
- Example: convert 15 lbf/ft³ to lbf/in³: 15 lbf/ft³ = 15 × 0.0005787037037 lbf/in³ = 0.008680555556 lbf/in³
Formula
lbf/in³ = lbf/ft³ ÷ 1728
Derivation from SI units:
- 1 lbf/ft³ = 4.4482216152605 N ÷ 0.028316846592 m³ ≈ 157.087 N/m³.
- 1 lbf/in³ = 4.4482216152605 N ÷ 1.6387064 × 10⁻⁵ m³ ≈ 271,447 N/m³.
- 1 lbf/ft³ = 157.0874638462 N/m³ ÷ 271447.1375263 N/m³ per lbf/in³ = 0.0005787037037037 lbf/in³
Both units are defined exactly, so the factor is exact. Pound-force per Cubic Foot definition: pound-force per cubic foot; Pound-force per Cubic Inch definition: pound-force per cubic inch.
Worked examples
- A reading of 110 lbf/ft³ converts to 0.06365740741 lbf/in³.
110 lbf/ft³ × 0.0005787037037 = 0.06365740741 lbf/in³ - A value of 125 lbf/ft³ is 0.07233796296 lbf/in³.
125 lbf/ft³ × 0.0005787037037 = 0.07233796296 lbf/in³
Pound-force per Cubic Foot to Pound-force per Cubic Inch conversion table
| Pounds-force per Cubic Foot (lbf/ft³) | Pounds-force per Cubic Inch (lbf/in³) |
|---|---|
| 62.4 lbf/ft³ | 0.03611111111 lbf/in³ |
| 90 lbf/ft³ | 0.05208333333 lbf/in³ |
| 100 lbf/ft³ | 0.05787037037 lbf/in³ |
| 110 lbf/ft³ | 0.06365740741 lbf/in³ |
| 115 lbf/ft³ | 0.06655092593 lbf/in³ |
| 120 lbf/ft³ | 0.06944444444 lbf/in³ |
| 125 lbf/ft³ | 0.07233796296 lbf/in³ |
| 145 lbf/ft³ | 0.08391203704 lbf/in³ |
| 150 lbf/ft³ | 0.08680555556 lbf/in³ |
| 490 lbf/ft³ | 0.2835648148 lbf/in³ |
Where it's used
Pounds-force per Cubic Foot are used for US geotechnical reports and AASHTO design, while pounds-force per cubic inch appear in US machine design (material weight). Both measure specific weight (unit weight) γ = ρg, so the conversion is a fixed factor.
Pound-force per Cubic Foot to other unit weight units
| Conversion | 1 lbf/ft³ equals |
|---|---|
| pcf to pound-force per cubic inch | 0.0005787037037 lbf/in³ |
| pcf to kilonewton per cubic metre | 0.1570874638 kN/m³ |
| pcf to newton per cubic metre | 157.0874638 N/m³ |
| pcf to tonne-force per cubic metre | 0.01601846337 tf/m³ |
| pcf to kilogram-force per cubic metre | 16.01846337 kgf/m³ |
| pcf to gram-force per cubic centimetre | 0.01601846337 gf/cm³ |
Frequently asked questions
How many pounds-force per cubic inch are in 1 pound-force per cubic foot?
1 lbf/ft³ = 0.0005787037037 lbf/in³.
How do I convert pounds-force per cubic foot to pounds-force per cubic inch?
Multiply the value in lbf/ft³ by 0.0005787037037, or divide it by 1728. For example, 15 lbf/ft³ × 0.0005787037037 = 0.008680555556 lbf/in³.
Is the lbf/ft³ to lbf/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-force per cubic foot".
- 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-force per cubic inch".
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-force per Cubic Foot to lbf/in³. Retrieved October 29, 2026, from https://scientificconverters.com/specific-weight/pounds-force-per-cubic-foot-to-pounds-force-per-cubic-inch/
IEEE
Scientific Converters, "Convert Pounds-force per Cubic Foot to lbf/in³," scientificconverters.com. Accessed: Oct. 29, 2026. [Online]. Available: https://scientificconverters.com/specific-weight/pounds-force-per-cubic-foot-to-pounds-force-per-cubic-inch/