Health & Fitness
Basic

BMI (Imperial)

BMI using pounds and inches.

Formula

BMI=703×mh2BMI = 703 \times \frac{m}{h^2}

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Variables

mMass (lb)
hHeight (in)

Example

154 lb, 69 in ⇒ 22.7

How it works

Body Mass Index (BMI) is a quick screening measure that compares a person’s weight to their height, giving a single number that can be used to flag possible underweight, healthy-weight, overweight, or obesity ranges. In the imperial version, the factor 703 converts the units so pounds and inches produce the same kind of ratio used in the metric formula. It works because it scales mass by height squared, which helps account for the fact that taller people naturally weigh more.

When to use it

Use this formula when you need a fast estimate of BMI from measurements taken in pounds and inches, such as in a clinic, fitness app, or health worksheet. It is useful for screening, but it does not replace a full medical assessment because it cannot distinguish muscle from body fat.

Worked example, step by step

Given mass = 180 lb and height = 70 in Step 1: Square the height: 70^2 = 4900 Step 2: Multiply the mass by 703: 703 × 180 = 126540 Step 3: Divide by the squared height: 126540 ÷ 4900 = 25.824... Step 4: Round to one decimal place: BMI = 25.8

Common mistakes to avoid

  • Forgetting to square the height before dividing
  • Using kilograms or centimeters with the imperial formula
  • Rounding too early and getting an inaccurate final BMI

Did You Know?

The imperial BMI formula needs a factor of 703 just to reconcile pounds and inches with the original metric version.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026