Calculate corpulence index, weight, or height from weight and height inputs with lbs/kg and in/ft/cm/m unit conversion for flexible results.

Corpulence Index Calculator

Enter any 2 values to calculate the missing variable

Corpulence Index Formula

The calculator uses weight and height to calculate the corpulence index. In this calculator, weight is converted to pounds and height is converted to inches before the formula is applied.

CI = (W / H²) * 703
  • CI = corpulence index
  • W = weight in pounds
  • H = height in inches
  • 703 = conversion factor used when weight is in pounds and height is in inches

To calculate weight when height and corpulence index are known, the formula is rearranged:

W = (CI * H²) / 703

To calculate height when weight and corpulence index are known, the formula is rearranged:

H = sqrt((W * 703) / CI)
  • 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: pounds and inches are used as the base units. Kilograms, feet, centimeters, and meters are converted before the formula is applied.

Corpulence Index Reference Ranges

The following table gives a general interpretation of corpulence index values when this calculator is used with the formula shown above.

Corpulence Index General Category
Below 18.5 Lower body weight range
18.5 to 24.9 Typical adult range
25.0 to 29.9 Higher body weight range
30.0 or higher Much higher body weight range

Common Unit Conversions

Input Unit Base Unit Conversion
1 kg 2.20462 lb
1 ft 12 in
1 cm 0.393701 in
1 m 39.3701 in

Example Problems

Example 1: Calculate corpulence index

You have a weight of 180 lb and a height of 70 in.

CI = (180 / 70²) * 703
CI = (180 / 4900) * 703 = 25.82

The corpulence index is 25.82.

Example 2: Calculate weight

You have a corpulence index of 22 and a height of 65 in.

W = (22 * 65²) / 703
W = (22 * 4225) / 703 = 132.22

The weight is 132.22 lb.

FAQ

Is corpulence index the same as BMI?

In this calculator, the formula used is the same structure as the common BMI formula for pounds and inches: weight divided by height squared, multiplied by 703. Some sources use the term corpulence index differently, so you should check the formula when comparing results from different tools.

Why does the calculator use 703?

The number 703 is a conversion factor used when weight is measured in pounds and height is measured in inches. If metric units are entered, the calculator first converts them to pounds and inches, then applies the same formula.

Can the calculator find height or weight instead of corpulence index?

Yes. Enter any two values and leave one blank. 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.