Final answer:
The child weighing 12.6kg was prescribed a dosage of 15mg/kg of acetaminophen and received it three times, resulting in a total of 567mg of acetaminophen administered during the shift.
Step-by-step explanation:
The student's question involves calculating the total milligrams of acetaminophen a child received, based on their weight and the prescribed dosage. To find the dosage per administration, we multiply the child's weight by the prescribed dosage amount. Then, we multiply the single dosage by the number of times the medication was given to find the total amount of acetaminophen administered.
In this case, the prescribed dose is 15mg/kg, and the child weighs 12.6kg. So, for each dose, the child receives 12.6kg × 15mg/kg = 189mg. Given that the child received this dosage three times, the total would be 189mg × 3 = 567mg of acetaminophen.