Question

• compute the daily rate of pediatric maintenance fluids for a child weighing 110lb: • 50ml/kg/day for first 10kg of body weight • 25 ml/kg/day for the next 10 kg of body weight • 10 ml/kg/day for each kg remaining

Explanation:

Step1: Convert lbs to kg

Since $1\ \text{lb} = 0.453592\ \text{kg}$,
$$110\ \text{lb} \times 0.453592 = 49.8951\ \text{kg} \approx 50\ \text{kg}$$

Step2: Calculate first 10kg fluid

Use 50mL/kg/day rate:
$$10\ \text{kg} \times 50\ \frac{\text{mL}}{\text{kg}\cdot\text{day}} = 500\ \text{mL/day}$$

Step3: Calculate next 10kg fluid

Use 25mL/kg/day rate:
$$10\ \text{kg} \times 25\ \frac{\text{mL}}{\text{kg}\cdot\text{day}} = 250\ \text{mL/day}$$

Step4: Calculate remaining kg fluid

Remaining weight: $50 - 20 = 30\ \text{kg}$. Use 10mL/kg/day rate:
$$30\ \text{kg} \times 10\ \frac{\text{mL}}{\text{kg}\cdot\text{day}} = 300\ \text{mL/day}$$

Step5: Sum all fluid volumes

$$500 + 250 + 300 = 1050\ \text{mL/day}$$

Answer:

1050 mL/day