Convert Grams-force per Cubic Centimetre to N/m³

Formula

N/m³ = gf/cm³ × 9806.65

Derivation from SI units:

• 1 gf/cm³ = 9806.65 N/m³ = 1 tf/m³.
• Specific (unit) weight γ = ρ g, in N/m³.

Both units are defined exactly, so the factor is exact. Gram-force per Cubic Centimetre definition: gram-force per cubic centimetre; Newton per Cubic Metre definition: newton per cubic metre.

Worked examples

1. A reading of 1.8 gf/cm³ converts to 17651.97 N/m³.
   1.8 gf/cm³ × 9806.65 = 17651.97 N/m³
2. A value of 2.65 gf/cm³ is 25987.6225 N/m³.
   2.65 gf/cm³ × 9806.65 = 25987.6225 N/m³

Where it's used

Grams-force per Cubic Centimetre are used for CGS-unit problems and older literature, 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.

Gram-force per Cubic Centimetre to other unit weight units

Frequently asked questions

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, "kilogram-force".
• 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: 2026-10-15. Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.