Ponderal Index Calculator

Enter your weight and height to compute your Ponderal Index (mass divided by height cubed), a height-corrected alternative to BMI, with the equivalent BMI shown alongside it.

Quick Facts

Formula
PI = mass / height^3
Uses height cubed instead of squared, so it is often called the "corpulence index".
Typical adult band
Roughly 11-14 kg/m^3
A descriptive reference, not a diagnostic cutoff like BMI categories.

Your Results

Calculated
Ponderal Index
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Mass / height^3 (kg/m^3)
Equivalent BMI
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Mass / height^2 (kg/m^2), for comparison
Height used
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Converted to meters
Descriptive band
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Relative to a typical adult range

Ready

Enter your weight and height, then calculate your Ponderal Index.

Understanding the Ponderal Index

The Ponderal Index (also called the corpulence index or Rohrer's Index) is a measure of body mass relative to height, calculated as weight divided by height cubed. It plays the same role as BMI - a quick, height-adjusted way to describe body size - but replaces BMI's height-squared denominator with height cubed.

Why height cubed instead of height squared

  • BMI (weight / height^2) was built for population averages and drifts at the extremes: very tall people tend to score higher on BMI than their build alone would suggest, and very short people tend to score lower.
  • Cubing height in the denominator more closely matches how body mass scales with height for a person of roughly constant shape (volume scales with the cube of a linear dimension), so the Ponderal Index is less distorted by height alone.
  • Because it removes more of the height effect, the Ponderal Index is common in research on stature and body proportion, and in its scaled newborn form (weight in grams, length in centimeters) it is used in pediatrics to flag infants who are unusually thin or heavy for their length.

Reading your result

This calculator reports the adult-style index in kg/m^3, together with the more familiar BMI (kg/m^2) computed from the same weight and height so you can compare the two. Most adults of average build land roughly between 11 and 14 kg/m^3; that band is a descriptive reference point, not a clinical cutoff the way BMI categories are sometimes treated.

What this number does not tell you

Like BMI, the Ponderal Index cannot distinguish muscle from fat, and it says nothing about where mass is distributed on the body. Two people with the same index can have very different body compositions and health profiles. Use it as one descriptive figure alongside others, not as a standalone health verdict, and speak with a healthcare provider for individual guidance.

Frequently Asked Questions

What is the Ponderal Index formula?
Ponderal Index equals mass divided by height cubed. In metric units that is weight in kilograms divided by height in meters cubed, giving a result in kg/m^3. This calculator converts pounds and inches to kilograms and meters first, so the formula stays consistent regardless of which units you enter.
How is Ponderal Index different from BMI?
BMI divides weight by height squared, while the Ponderal Index divides weight by height cubed. The extra power of height makes the Ponderal Index less sensitive to a person's height alone, which is why it is sometimes used instead of BMI when comparing people of very different statures.
What counts as a typical Ponderal Index for adults?
Most adults of average build fall roughly between 11 and 14 kg/m^3, with values below that range suggesting a leaner build relative to height and values above it suggesting a heavier build relative to height. Unlike BMI, there is no universally agreed clinical cutoff, so treat this range as descriptive rather than diagnostic.