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Height From BMI And Weight Calculator

Height Calculation Formula:

\[ Height = \sqrt{\frac{weight \times 703}{BMI}} \]

pounds (lbs)
(unitless)

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1. What is the Height From BMI Calculation?

This calculation determines a person's height based on their Body Mass Index (BMI) and weight. It's useful when you know someone's weight and BMI but need to estimate their height.

2. How Does the Calculator Work?

The calculator uses the following formula derived from the BMI equation:

\[ Height = \sqrt{\frac{weight \times 703}{BMI}} \]

Where:

Explanation: The formula rearranges the standard BMI calculation to solve for height instead of BMI.

3. Importance of Height Calculation

Details: While less common than calculating BMI, this reverse calculation can be helpful in medical assessments, nutritional planning, and research when height data is missing but BMI and weight are known.

4. Using the Calculator

Tips: Enter weight in pounds and BMI value. Both values must be positive numbers. The calculator will provide height in inches and in feet+inches format.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 703 in the formula?
A: 703 is the conversion factor needed when using pounds and inches (instead of kilograms and meters) in the BMI calculation.

Q2: How accurate is this calculation?
A: It's mathematically precise based on the BMI formula, but assumes the BMI value was correctly calculated from actual height and weight measurements.

Q3: Can I use this with metric units?
A: For metric units (kg and m), the formula simplifies to: Height = sqrt(weight / BMI). This calculator uses imperial units (lbs and inches).

Q4: What if I get an unrealistic height result?
A: Double-check your input values. Unrealistic results usually mean either the weight or BMI value was entered incorrectly.

Q5: When would this calculation be useful?
A: Useful in research when analyzing existing BMI data, for verifying height measurements, or when height data is missing but weight and BMI are available.

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