## Core Concept
The Corpulence Index, also known as Ponderal's Index, is a measure used to assess leanness or corpulence of a person. It is calculated using the individual's height and weight. This index is often utilized in clinical settings to evaluate nutritional status.

## Why the Correct Answer is Right
The correct formula for the Corpulence Index or Ponderal Index is **weight (in kg) / height (in meters)^3** or sometimes expressed as **height (in cm) / cubic root of weight (in kg)**, but most appropriately and commonly it is **weight (kg) / height (m)^3**. This calculation helps in assessing whether a person is underweight, overweight, or at an ideal weight for their height.

## Why Each Wrong Option is Incorrect
- **Option A:** This option does not represent the correct formula for the Corpulence Index. Without the specific formula provided in the question, we can infer that it does not match **weight (kg) / height (m)^3**.
- **Option B:** Similarly, this option is incorrect as it does not align with the recognized formula for calculating the Corpulence Index.
- **Option D:** This option is also incorrect for the same reason; it does not represent the standard formula used for the Corpulence Index.

## Clinical Pearl / High-Yield Fact
A key point to remember is that the Ponderal Index or Corpulence Index is an important tool in pediatric and adult populations for assessing nutritional status and can be an indicator of health risks associated with being underweight or overweight.

## Correct Answer: C.