Calculate Ponderal Index (mass divided by height cubed) as a height-proportionate alternative to BMI, with a category from underweight to obese.
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Units
| Ponderal Index | 14.2 kg/m³ |
| Category | Overweight |
| BMI (for comparison) | 24.2 kg/m² |
| Formula | PI = 70.00 kg ÷ 1.700 m³ = 14.2 kg/m³ |
| PI (kg/m³) | Category |
|---|---|
| < 11.0 | Underweight |
| 11.0 – 13.9 | Normal weight |
| 14.0 – 16.9 | Overweight |
| ≥ 17.0 | Obese |
Also in Body Metrics
Body Metrics
The Ponderal Index (PI) divides weight by the cube of height, making it more appropriate than BMI for people at the extremes of the height range. Enter your weight and height to see your PI alongside your BMI for comparison.
PI = mass (kg) ÷ height³ (m³). For example, a person who is 70 kg and 1.70 m tall has a PI of 70 ÷ (1.70)³ = 70 ÷ 4.913 = 14.2 kg/m³.
BMI uses height squared (mass ÷ height²). Because body dimensions scale in three directions, cubing the height is theoretically more geometrically sound. In practice, the difference matters most for very tall individuals (PI is lower than BMI suggests) and very short individuals (PI is higher).
For people of average height (around 170–175 cm), PI and BMI tend to classify individuals similarly. The divergence becomes meaningful at the extremes — a 200 cm basketball player may have a BMI in the overweight range purely from height while their PI is within normal. Conversely, very short individuals can appear healthier on BMI than their PI suggests.
PI was originally proposed by Fritz Rohrer in 1921 and has been used in paediatric nutrition research, particularly to assess newborn nutritional status at birth (birth PI being more informative than birth weight alone).
Approximate adult reference ranges: underweight below 11 kg/m³, normal weight 11–14 kg/m³, overweight 14–17 kg/m³, obese above 17 kg/m³. These are general population estimates and are less well-validated than BMI categories because PI is less commonly used in large epidemiological studies.
Frequently asked questions
PI is more mathematically consistent with how body volume scales with height, but neither PI nor BMI measures body fat directly. For clinical use, BMI remains the most studied and most widely referenced metric. PI is a useful complement, especially for very tall or very short individuals.
PI is used in neonatology to assess intrauterine growth restriction and nutritional status in newborns. In adult medicine it is less commonly used than BMI, though it appears in some research studies assessing adiposity at height extremes.
Like BMI, PI does not distinguish fat mass from muscle mass and does not measure where fat is distributed. Two people with the same PI can have very different body compositions and health risks.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
Check body mass index with metric or imperial units, then compare the result with standard adult BMI ranges and a height-based healthy weight estimate.
Estimate body fat percentage with body measurements, then compare fat mass, lean mass, and a general body composition band.
Estimate Relative Fat Mass from height and waist circumference using the Woolcott–Bergman formula, with sex-specific body fat categories.
See ideal body weight estimates from four classic medical formulas (Hamwi, Devine, Robinson, Miller) based on your height and sex.
