Body Density Calculator

Calculate body density from skinfold measurements and convert to body fat percentage using the Siri and Brozek equations.

yrs
mm
mm
mm
Body Density
1.0663 g/cm³
Sum of skinfolds: 47.0 mm
Body Fat % (Siri)
14.2%
(495 / D) − 450
Body Fat % (Brozek)
14.4%
(457 / D) − 414.2
Difference
0.2%
Between equations
Sum of Skinfolds
47.0 mm
3-site protocol

Equation Comparison

EquationBody Fat %Best For
Siri (1961)14.2%General adult populations
Brozek (1963)14.4%Very lean or obese individuals

Body Density Reference Ranges

CategoryMale (g/cm³)Female (g/cm³)
Essential Fat> 1.089> 1.072
Athletes1.069 – 1.0891.049 – 1.072
Fitness1.053 – 1.0691.035 – 1.049
Average1.035 – 1.0531.017 – 1.035
Above Average BF< 1.035< 1.017

Disclaimer: Skinfold-based body density estimates have a standard error of approximately ±3.5% body fat. Results depend heavily on measurement technique and caliper quality. For clinical decisions, consult a qualified professional.

Planning notes, formulas, and examples

About the Body Density Calculator

The Body Density Calculator converts skinfold thickness measurements into whole-body density using the Jackson–Pollock generalized equations, then translates that density into body fat percentage with both the Siri and Brozek conversion formulas. Body density is expressed in g/cm³ and serves as the intermediate step in many body-composition assessment methods, including skinfold calipers, hydrostatic (underwater) weighing, and air-displacement plethysmography (Bod Pod).

Knowing your body density is useful because it links skinfold measurements to a density-based body-fat estimate. Researchers and coaches use these methods because they have been compared with reference techniques such as DEXA, though the final estimate still depends on careful caliper technique and the assumptions built into the conversion formulas.

This calculator supports both the 3-site and 7-site Jackson–Pollock protocols, with sex-specific site selections, and displays results from both the Siri and Brozek equations so you can compare how the estimate changes across common conversion models.

When This Page Helps

Body density is the intermediate value used in classic density-based body-composition models. Converting skinfold data to density and then to body fat percentage follows the same general workflow used in many teaching, coaching, and sports-science settings. Seeing the density value itself can help you compare protocols and understand how the final body-fat estimate is being produced. Treat the result as a repeatable estimate rather than a direct laboratory measurement.

How to Use the Inputs

  1. Select your sex (male or female) — measurement sites differ between sexes.
  2. Enter your age in years.
  3. Choose the protocol: 3-site (faster) or 7-site (more detailed).
  4. Measure each skinfold site with calipers and enter the values in millimeters.
  5. Review the calculated body density (g/cm³) and the body fat percentage from both the Siri and Brozek equations.
  6. Compare results: the Siri equation is more common, while Brozek is sometimes preferred at body-composition extremes.
  7. Track measurements over time under the same conditions (same time of day, same measurer, same caliper) for best consistency.
Formula used
Jackson–Pollock 3-Site (Male — chest, abdomen, thigh): Body Density = 1.10938 − 0.0008267 × S + 0.0000016 × S² − 0.0002574 × Age where S = sum of 3 skinfolds in mm. 3-Site (Female — tricep, suprailiac, thigh): Body Density = 1.0994921 − 0.0009929 × S + 0.0000023 × S² − 0.0001392 × Age 7-Site (Male — chest, midaxillary, tricep, subscapular, abdomen, suprailiac, thigh): Body Density = 1.112 − 0.00043499 × S + 0.00000055 × S² − 0.00028826 × Age 7-Site (Female — same 7 sites): Body Density = 1.097 − 0.00046971 × S + 0.00000056 × S² − 0.00012828 × Age Siri Equation: BF% = (495 / Density) − 450 Brozek Equation: BF% = (457 / Density) − 414.2

Example Calculation

Result: Density 1.0640 g/cm³ → Siri 15.2% BF, Brozek 15.3% BF

A 30-year-old male measures chest 12 mm, abdomen 20 mm, and thigh 15 mm. Sum = 47 mm. Jackson–Pollock 3-site male: Density = 1.10938 − 0.0008267×47 + 0.0000016×47² − 0.0002574×30 = 1.0640 g/cm³. Siri: BF% = (495/1.0640) − 450 = 15.2%. Brozek: BF% = (457/1.0640) − 414.2 = 15.3%. Both equations are close for this example.

Tips & Best Practices

  • Take each skinfold measurement three times and use the median to reduce error.
  • Always measure on the right side of the body for consistency with published norms.
  • Pinch skinfolds with the caliper jaws perpendicular to the fold, reading after two seconds.
  • Avoid measurements immediately after exercise, as fluid shifts can inflate skinfold thickness.
  • The Brozek equation is sometimes preferred for very lean or very high body-fat populations.
  • If you only have 3-site data, the 3-site protocol is sufficient for tracking trends over time.
  • Hydrostatic weighing directly measures body density without skinfold conversion and is often used as a reference method in older validation studies.

The Science Behind Body Density Measurement

Body density has been used in body-composition research since the 1940s, when Albert Behnke first applied Archimedes' principle to human underwater weighing. The concept is simple: fat tissue is less dense than water (about 0.9 g/cm³), while lean tissue is denser (about 1.1 g/cm³). A person's overall density therefore indicates their relative proportion of fat to lean tissue.

From Skinfolds to Density: The Jackson–Pollock Equations

In 1978 and 1980, Andrew Jackson and Michael Pollock published generalized regression equations that predict body density from skinfold thicknesses, age, and sex. Unlike earlier population-specific models, these equations were validated across a wide range of body types and ages, making them suitable for general use. The 3-site and 7-site protocols remain widely cited skinfold methods in exercise science.

Converting Density to Body Fat Percentage

The Siri equation (1961) and the Brozek equation (1963) are two common formulas for converting density to body fat. Both assume a two-component model (fat vs. fat-free mass), though Brozek's constants are derived from slightly different tissue-density assumptions. For most healthy adults the difference is less than 0.5 percentage points, but in populations with atypical bone density or hydration — such as the elderly, children, or certain ethnic groups — more advanced multi-component models may be more appropriate.

Practical Tips for Accurate Measurements

Caliper technique is the single biggest source of error in skinfold-based density estimation. Practitioners should train on repeated practice measurements before collecting data for research. In self-assessment, mark measurement sites with a pen to ensure consistency, measure in the morning before exercise, and avoid skin lotions that can make folds slippery.

Sources & Methodology

Last updated:

Methodology

This calculator uses the Jackson-Pollock skinfold prediction equations to estimate body density from summed skinfold thickness, age, and sex. It then converts body density to body fat percentage using both the Siri and Brozek equations so the user can compare two common density-to-fat assumptions.

The density estimate is a regression-based approximation, not a direct laboratory measurement. It is most useful for consistent trend tracking when the same measurement sites, caliper, and technique are used over time.

Sources

  • Generalized equations for predicting body density of women (Medicine & Science in Sports & Exercise)
  • Generalized equations for predicting body density of men (British Journal of Nutrition)
  • Body composition from fluid spaces and density (American Journal of Clinical Nutrition)
  • Densitometric analysis of body composition (Annals of the New York Academy of Sciences)

Frequently Asked Questions

  • Body density is total body mass divided by total body volume, typically expressed in g/cm³. Lean tissue is denser (~1.1 g/cm³) than fat tissue (~0.9 g/cm³), so a higher body density generally indicates a leaner body. Density is the intermediary value needed to convert skinfold or hydrostatic-weighing data into body fat percentage.