A 14-year-old patient weighs 40 kg and is to receive methotrexate at 50 mg/m^2. What is the dose (to the nearest 0.5 mg)?

Study for the Archer Pharmacology Test to master dosage calculations and medication administration. Use flashcards and multiple choice questions with detailed explanations. Get ready for your exam!

Multiple Choice

A 14-year-old patient weighs 40 kg and is to receive methotrexate at 50 mg/m^2. What is the dose (to the nearest 0.5 mg)?

Explanation:
Dosing by body surface area means you multiply the dose per square meter (mg/m^2) by the patient’s BSA in square meters. For a 40 kg, typical adolescent patient, the body surface area is about 1.25 m^2. Using Mosteller-style estimation, a height around 140 cm gives BSA ≈ sqrt(140 × 40 / 3600) ≈ sqrt(1.56) ≈ 1.25 m^2. So the total dose = 50 mg/m^2 × 1.25 m^2 = 62.5 mg, which is already at the nearest 0.5 mg. That matches the chosen option. If you tried different BSA values (for example around 1.05 m^2 or 1.45 m^2), you’d get 52.5 mg or 72.5 mg respectively, which aren’t typical estimates for a 40 kg, adolescent patient.

Dosing by body surface area means you multiply the dose per square meter (mg/m^2) by the patient’s BSA in square meters. For a 40 kg, typical adolescent patient, the body surface area is about 1.25 m^2. Using Mosteller-style estimation, a height around 140 cm gives BSA ≈ sqrt(140 × 40 / 3600) ≈ sqrt(1.56) ≈ 1.25 m^2. So the total dose = 50 mg/m^2 × 1.25 m^2 = 62.5 mg, which is already at the nearest 0.5 mg. That matches the chosen option.

If you tried different BSA values (for example around 1.05 m^2 or 1.45 m^2), you’d get 52.5 mg or 72.5 mg respectively, which aren’t typical estimates for a 40 kg, adolescent patient.

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