Convert Pounds-force per Cubic Foot to N/m³
1 pound-force per cubic foot (lbf/ft³) = 157.0874638 newtons per cubic metre (N/m³). 1 N/m³ = 0.006365880354 lbf/ft³. Example: 15 lbf/ft³ = 15 × 157.0874638 = 2356.311958 N/m³.
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1 lbf/ft³ = 157.0874638 N/m³
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk pcf to newton per cubic metre converter to paste a column from Excel.
How to Convert Pound-force per Cubic Foot to Newton per Cubic Metre
- 1 lbf/ft³ = 157.0874638 N/m³
- 1 N/m³ = 0.006365880354 lbf/ft³
- Example: convert 15 lbf/ft³ to N/m³: 15 lbf/ft³ = 15 × 157.0874638 N/m³ = 2356.311958 N/m³
Formula
N/m³ = lbf/ft³ × 157.0874638462
Derivation from SI units:
- 1 lbf/ft³ = 4.4482216152605 N ÷ 0.028316846592 m³ ≈ 157.087 N/m³.
- Specific (unit) weight γ = ρ g, in N/m³.
Both units are defined exactly, so the factor is exact. Pound-force per Cubic Foot definition: pound-force per cubic foot; Newton per Cubic Metre definition: newton per cubic metre.
Worked examples
- A reading of 110 lbf/ft³ converts to 17279.62102 N/m³.
110 lbf/ft³ × 157.0874638 = 17279.62102 N/m³ - A value of 125 lbf/ft³ is 19635.93298 N/m³.
125 lbf/ft³ × 157.0874638 = 19635.93298 N/m³
Pound-force per Cubic Foot to Newton per Cubic Metre conversion table
| Pounds-force per Cubic Foot (lbf/ft³) | Newtons per Cubic Metre (N/m³) |
|---|---|
| 62.4 lbf/ft³ | 9802.257744 N/m³ |
| 90 lbf/ft³ | 14137.87175 N/m³ |
| 100 lbf/ft³ | 15708.74638 N/m³ |
| 110 lbf/ft³ | 17279.62102 N/m³ |
| 115 lbf/ft³ | 18065.05834 N/m³ |
| 120 lbf/ft³ | 18850.49566 N/m³ |
| 125 lbf/ft³ | 19635.93298 N/m³ |
| 145 lbf/ft³ | 22777.68226 N/m³ |
| 150 lbf/ft³ | 23563.11958 N/m³ |
| 490 lbf/ft³ | 76972.85728 N/m³ |
Where it's used
Pounds-force per Cubic Foot are used for US geotechnical reports and AASHTO design, while newtons per cubic metre appear in hydrostatic pressure p = γh. 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 newton per cubic metre | 157.0874638 N/m³ |
| pcf to kilonewton per cubic metre | 0.1570874638 kN/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 |
| pcf to pound-force per cubic inch | 0.0005787037037 lbf/in³ |
Frequently asked questions
How many newtons per cubic metre are in 1 pound-force per cubic foot?
1 lbf/ft³ = 157.0874638 N/m³.
How do I convert pounds-force per cubic foot to newtons per cubic metre?
Multiply the value in lbf/ft³ by 157.0874638. For example, 15 lbf/ft³ × 157.0874638 = 2356.311958 N/m³.
Is the lbf/ft³ to N/m³ 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".
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (derived units) and Table 8 (non-SI units accepted for use with the SI).
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 N/m³. Retrieved October 29, 2026, from https://scientificconverters.com/specific-weight/pounds-force-per-cubic-foot-to-newtons-per-cubic-meter/
IEEE
Scientific Converters, "Convert Pounds-force per Cubic Foot to N/m³," scientificconverters.com. Accessed: Oct. 29, 2026. [Online]. Available: https://scientificconverters.com/specific-weight/pounds-force-per-cubic-foot-to-newtons-per-cubic-meter/