Ponderal Index Calculator

Work out your Ponderal Index (Corpulence Index) from height and weight

Calculate your Ponderal Index — weight divided by height cubed — a body-composition measure that stays more consistent than BMI across very tall and very short people. Metric and imperial. Runs 100% in your browser. It runs free in your browser on Gera Tools, with nothing uploaded.

Last updated Source: Gera Tools

What is the Ponderal Index?

The Ponderal Index (also called the Corpulence Index or Rohrer Index) is weight in kilograms divided by height in metres cubed (kg/m³). Because it divides by height cubed rather than squared, it scales more sensibly for people who are unusually tall or short than BMI does.

The Ponderal Index Calculator estimates body composition using weight divided by height cubed, giving a figure in kg/m³ that holds up better than BMI at the extremes of height. It is also known as the Corpulence Index or Rohrer Index.

How it works

The Ponderal Index uses the formula:

Ponderal Index = mass (kg) ÷ height (m)³

Cubing height (rather than squaring it, as BMI does) keeps the index roughly constant as a person scales up or down in size. A 70 kg adult who is 1.75 m tall has a Ponderal Index of 70 ÷ 1.75³ = 70 ÷ 5.359 ≈ 13.1 kg/m³.

Interpreting your result

Ponderal Index (kg/m³)General interpretation
Below 11Underweight range
11 – 15Normal range
Above 15Overweight range

These bands are a screening guide for adults, not a medical diagnosis. Athletes with high muscle mass can read high without excess fat, and the index says nothing about where body fat is stored.

Ponderal Index vs BMI

BMI works well across most of the population but drifts at the tails: a 2.0 m basketball player can be flagged overweight by BMI while carrying little fat, and a 1.5 m adult can be reassured by a BMI that hides excess weight. Because the Ponderal Index divides by height cubed, it removes most of that height bias, which is why clinicians sometimes reach for it for very tall or very short people, and in some infant and child growth contexts.