This page retains its BMI-based index model (weight divided by height squared), with inverse weight and height calculations and lb/kg and in/ft/cm/m conversion. It does not calculate the height-cubed ponderal index.
Corpulence Index Formula
The calculator uses weight and height to calculate the corpulence index. The calculator converts weight to kilograms and height to meters, then applies BMI = weight / height² (kg/m²).
- CI = this calculator’s BMI-based index in kg/m²
- W = weight in pounds
- H = height in inches
- 0.45359237 / 0.0254² ≈ 703.06957964 = exact lb/in conversion factor; 703 is its rounded approximation
To calculate weight when height and corpulence index are known, the formula is rearranged:
To calculate height when weight and corpulence index are known, the formula is rearranged:
- Calculate corpulence index: enter weight and height, and the calculator solves for CI.
- Calculate weight: enter height and CI, and the calculator solves for weight.
- Calculate height: enter weight and CI, and the calculator solves for height.
- Unit handling: kilograms and meters are used as the base units. Pounds, inches, feet, and centimeters are converted before the formula is applied.
Corpulence Index Reference Ranges
The following are adult BMI screening categories for ages 20 and older, not a diagnosis or direct body-fat measurement. Children require age- and sex-specific assessment. The inverse weight calculation is not a recommended target weight.
| Corpulence Index | General Category |
|---|---|
| Below 18.5 | Lower body weight range |
| 18.5 to less than 25 | Typical adult range |
| 25 to less than 30 | Higher body weight range |
| 30.0 or higher | Much higher body weight range |
Common Unit Conversions
| Input Unit | Base Unit Conversion |
|---|---|
| 1 kg | 2.20462262185 lb (approximately) |
| 1 ft | 12 in |
| 1 cm | 0.3937007874 in (approximately) |
| 1 m | 39.3700787402 in (approximately) |
Example Problems
Example 1: Calculate corpulence index
You have a weight of 180 lb and a height of 70 in.
The corpulence index is 25.83 kg/m².
Example 2: Calculate weight
You have a corpulence index of 22 and a height of 65 in.
The weight is 132.21 lb.
FAQ
Is corpulence index the same as BMI?
Yes, this page retains its BMI-based formula, weight in kilograms divided by height in meters squared. The height-cubed ponderal index is a different model; its results and reference ranges are not interchangeable with BMI.
Why does the calculator use 703?
The number 703 is the usual rounded lb/in BMI multiplier. This calculator uses exact SI conversions, equivalent to an imperial multiplier of approximately 703.06957964. Small differences from a rounded-703 calculation are expected.
Can the calculator find height or weight instead of corpulence index?
Yes. Choose the value to solve for and enter the two required values. If you enter height and corpulence index, it calculates weight. If you enter weight and corpulence index, it calculates height. If you enter weight and height, it calculates corpulence index.
