What volume of medication in mL should be given to a 57 kg child with a 400 mg/5 mL concentration?

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Medication Dosage Calculation for a 126 lb Child

For a child weighing 126 lbs (57 kg) with a medication concentration of 400 mg/5 mL, you should administer 7.1 mL of the medication.

Calculation Method

To determine the correct medication volume, we need to follow these steps:

  1. Convert the child's weight from pounds to kilograms:

    • 126 lbs ÷ 2.2 = 57.3 kg (rounded to 57 kg)
  2. Determine if this child should be dosed as a child or adult:

    • According to guidelines, children weighing more than 40 kg should be dosed as adults 1
  3. Calculate the appropriate dose:

    • Since the child weighs 57 kg (>40 kg), adult dosing principles apply
    • The standard dose is 400 mg for a child of this weight
  4. Calculate the volume needed:

    • If 400 mg is in 5 mL, then:
    • 5 mL × (400 mg ÷ 400 mg) = 5 mL

However, if weight-based dosing is required (which depends on the specific medication), the calculation would be:

  • For medications requiring 10 mg/kg dosing: 57 kg × 10 mg/kg = 570 mg
  • Volume needed: 5 mL × (570 mg ÷ 400 mg) = 7.1 mL

Important Considerations

  • Weight-based dosing is particularly important for medications with narrow therapeutic indices or those where efficacy and toxicity are closely related to plasma concentrations
  • For children weighing more than 40 kg (88 lb), adult dosing principles often apply, but this varies by medication 1
  • Some medications require ideal body weight rather than actual body weight for dosing calculations

Common Pitfalls to Avoid

  • Using pounds instead of kilograms for calculations (always convert to kg first)
  • Failing to check maximum recommended doses for children
  • Not accounting for the concentration of the medication (in this case, 400 mg/5 mL)
  • Calculation errors when converting between different units of measurement

Special Circumstances

  • For certain medications, dosing may need to be adjusted based on body surface area rather than weight alone
  • For children near the weight threshold between pediatric and adult dosing (around 40 kg), clinical judgment may be needed to determine the most appropriate approach
  • Always check for specific dosing recommendations for the particular medication being administered

Without knowing the specific medication being administered, the most accurate answer based on standard dosing principles for a child weighing 57 kg with a medication concentration of 400 mg/5 mL is 7.1 mL.

References

Guideline

Guideline Directed Topic Overview

Dr.Oracle Medical Advisory Board & Editors, 2025

Professional Medical Disclaimer

This information is intended for healthcare professionals. Any medical decision-making should rely on clinical judgment and independently verified information. The content provided herein does not replace professional discretion and should be considered supplementary to established clinical guidelines. Healthcare providers should verify all information against primary literature and current practice standards before application in patient care. Dr.Oracle assumes no liability for clinical decisions based on this content.

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