Order: Cefdinir 7mg / k * g po q 12 h for otitis media Available : 125mg / 5 * mL Child's weight: 60 lbs How many milliliters will you administer per day ? Show all work
To calculate how many milliliters of Cefdinir will be administered per day, we need to convert the weight of the child from pounds to kilograms.
1 lb = 0.453592 kg
60 lbs = 60 * 0.453592 kg
60 lbs = 27.216 kg
Now we can calculate the total daily dose of Cefdinir:
Cefdinir dose per day = Cefdinir dose per kilogram * weight in kilograms
Cefdinir dose per day = 7 mg/kg * 27.216 kg
Cefdinir dose per day = 190.512 mg
Since the available concentration is 125mg/5mL, we can now calculate the volume required:
Number of milliliters per day = Cefdinir dose per day / concentration
Number of milliliters per day = 190.512 mg / 125mg/5mL
To divide by a fraction, we multiply by its reciprocal:
Number of milliliters per day = 190.512 mg * 5mL / 125mg
Number of milliliters per day = 7.62 mL
So, you will administer approximately 7.62 milliliters of Cefdinir per day.
Step 1: Convert the child's weight from pounds to kilograms.
1 lb = 0.453592 kg
Child's weight: 60 lbs * 0.453592 kg/lb = 27.21552 kg (rounded to 5 decimal places)
Step 2: Calculate the total daily dose of Cefdinir.
Total daily dose = Cefdinir dose (mg/kg) * child's weight (kg)
Cefdinir dose: 7 mg/kg
Total daily dose = 7 mg/kg * 27.21552 kg = 190.50964 mg (rounded to 5 decimal places)
Step 3: Determine the number of milliliters to be administered per day.
Available Cefdinir strength: 125mg/5mL
Number of milliliters per dose = Total daily dose (mg) / Cefdinir strength (mg/mL)
Number of milliliters per dose = 190.50964 mg / 125 mg/mL
Number of milliliters per dose = 1.52408 mL (rounded to 5 decimal places)
Step 4: Calculate the total number of doses per day.
Since the prescription is to be taken every 12 hours, there will be 2 doses per day.
Step 5: Calculate the total milliliters to be administered per day.
Total milliliters per day = Number of milliliters per dose * total number of doses per day
Total milliliters per day = 1.52408 mL * 2 = 3.04816 mL (rounded to 5 decimal places)
Therefore, you will administer approximately 3.04816 milliliters of Cefdinir per day for otitis media.