I was looking at this legendary obese guy, Arnold Schwarzenegger:

Arnold Schwarzenegger - Wikipedia, the free encyclopedia

His competition mass was 240 lbs (108.9 kg in scientific units);

His height is, and was, 1.88m.

The body mass index divides the mass by the square of the height.

This comes out at 30.8.

A BMI of 25-30 is overweight; anything over 30 is obese.

His off-season mass was 260 lb; that gives a BMI of 33.4.

Obviously, mass increases with the cube of height for humans (though, admittedly, with the square of it for postage stamps). Somehow this seems as batty as the African republic that officially decreed that Pi was henceforth 4. Is there any way of gaining useful information about obesity with only the height and the mass, or do you really need a lot more information?

Clearly, really tall people tend to be lanky, so generally mass does not increase as fast as the cube of height. Presumably you need to raise the height to a higher power than 2 but less than 3: what is that power?