The average intravenous dose of doxorubicin for children is 30 mg/m2. (1) is the dose for a child weighing 48 lb and 115 cm in height. Round answer to the nearest tenth. Do not include units.
Explanation & Rationale
Step 1 is to convert weight from pounds (lb) to kilograms (kg) Conversion factor: 1 kg = 2.2 lbs Weight in kg = 48 ÷ 2.2 48 ÷ 2.2 = 21.8181 Result at this step = 21.8181 kg Step 2 is to calculate the Body Surface Area (BSA) in square meters (m²) using the Mosteller formula Formula: Square Root of {(Height (cm) x Weight (kg)) ÷ 3600} 115 × 21.8181 = 2509.0815 (2509.0815 ÷ 3600) = 0.6969 Square Root of {0.6969}$ = 0.8348 Result at this step = 0.8348 m² Step 3 is to calculate the total dose in milligrams (mg) Total dose = BSA × Ordered Dose per m² 0.8348 × 30 = 25.044 Result at this step = 25.044 mg Note: Alternatively, using the lbs/inches formula: Height: 115 cm ÷ 2.54 = 45.275 inches Formula: Square Root of {(45.275 x 48) ÷ 3131} 45.275 × 48 = 2173.2 (2173.2 ÷ 3131) = 0.6941 Square Root of {0.6941}$ = 0.8331 0.8331 × 30 = 24.99 Step 4 is to round to the nearest tenth Using standard pediatric BSA calculation: 24.3