Agriculture & Soil
Intermediate

Soil Bulk Density

Dry soil mass per unit volume — a measure of compaction.

Formula

ρb=msV\rho_b = \frac{m_s}{V}

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Variables

ρ_bBulk density (g/cm³)
m_sDry soil mass (g)
VVolume (cm³)

Example

m_s=1350 g, V=1000 cm³: ρ_b = 1.35 g/cm³

How it works

Soil bulk density tells you how much dry soil mass is packed into a given volume of soil, including the pore spaces between particles. It works because density is defined as mass divided by volume, so a larger mass in the same volume means the soil is more compacted, while a smaller mass means it is looser and more porous. In agriculture, this helps indicate how easily roots can grow, how well water can move through the soil, and how much air is available to plants.

When to use it

Use this formula when comparing soil compaction across fields, depths, or management practices such as tillage and grazing. It is also useful in soil sampling, land assessment, and diagnosing problems like poor drainage or restricted root growth.

Worked example, step by step

A soil core has a dry mass of 980 g and a measured volume of 650 cm³. Step 1: Write the formula: ρ_b = m_s / V Step 2: Substitute the values: ρ_b = 980 g / 650 cm³ Step 3: Calculate: ρ_b = 1.5077... g/cm³ Step 4: Round appropriately: ρ_b ≈ 1.51 g/cm³ Final answer: The soil bulk density is 1.51 g/cm³.

Common mistakes to avoid

  • Using wet soil mass instead of dry soil mass
  • Confusing bulk density with particle density
  • Measuring the wrong volume, such as only the solid particles instead of the whole soil core

Did You Know?

Above ~1.6 g/cm³ soil is so compacted that roots struggle to push through it.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026