The Corpulence Index Calculator determines an individual’s level of corpulence (body fatness) by comparing their weight to the cube of their height. It provides a more nuanced perspective on body size and health compared to the Body Mass Index (BMI), particularly for tall individuals where BMI might underestimate fatness. This tool is useful in health assessments, fitness planning, and medical diagnostics.
By offering precise calculations, the Corpulence Index (CI) Calculator supports individuals and professionals in making informed decisions about health and wellness.
Formula of Corpulence Index Calculator
The formula for calculating the Corpulence Index is:
Corpulence Index = Weight / Height³
Detailed Formula Components:
- Weight:
The individual’s body weight, typically measured in kilograms (kg) or pounds (lb). - Height:
The individual’s height, typically measured in meters (m) or inches (in). - Height³:
The height cubed (height × height × height), ensuring the unit matches that of the height. - Corpulence Index (CI):
The result is expressed in kg/m³ when using metric units or lb/in³ for imperial units.
Key Notes:
- Metric units (kg and meters) provide results in kg/m³.
- Imperial units (lb and inches) yield results in lb/in³.
- CI offers a better representation of body fatness for individuals of varying heights.
Pre-Calculated Values Table
This table shows sample Corpulence Index values for different weights and heights (metric system):
| Weight (kg) | Height (m) | Height³ (m³) | Corpulence Index (kg/m³) |
|---|---|---|---|
| 50 | 1.50 | 3.375 | 14.81 |
| 65 | 1.60 | 4.096 | 15.87 |
| 80 | 1.75 | 5.359 | 14.93 |
| 95 | 1.80 | 5.832 | 16.29 |
| 110 | 1.90 | 6.859 | 16.04 |
Example of Corpulence Index Calculator
Scenario:
A person weighs 75 kilograms and is 1.68 meters tall. Calculate their Corpulence Index.
Step-by-Step Solution:
- Identify the formula:
Corpulence Index = Weight / Height³ - Substitute the values:
Weight = 75 kg
Height = 1.68 m
Height³ = 1.68 × 1.68 × 1.68 = 4.752 m³ - Perform the calculation:
Corpulence Index = 75 / 4.752
Corpulence Index ≈ 15.78 kg/m³
Result:
The individual’s Corpulence Index is approximately 15.78 kg/m³, which can be analyzed alongside standard health guidelines.
Most Common FAQs
While BMI uses height squared (Height²), the Corpulence Index uses height cubed (Height³). This makes CI more sensitive to variations in height, offering a better representation of body fatness for very tall or very short individuals.
A healthy CI range is not as widely standardized as BMI, but values around 15–17 kg/m³ are generally considered normal. Consult a healthcare professional for personalized interpretation.
Yes, but the interpretation should account for age- and sex-specific growth charts, as children have different body composition patterns compared to adults.