[Audio] Week 5 Dimensional analysis by Tarshiona McCraney Term: [02/6/2026] Instructor Name: William Veczko.
[Audio] Scenario A mother has been given a prescription for her child. She fills the prescription at her local pharmacy. When she gets home, she reads the prescription instructions and doesn’t know how to administer the prescription with the tools that she has at home. She calls you..
[Audio] The PRESCRIPTION INSTRUCTIONS Prescription: 30 mg of Drug Z per pound of child’s weight a day. Child’s Weight: 25 Kg Issue: The parents would prefer to give liquid medication. You found a liquid medication that contains 0.9 grams of Drug Z per mL of solution. Question: How many mL of the liquid medication should the child take to meet the order of the prescription? Round your answer to 3 decimal places. Hint: 1 Kg = 2.2 lbs.
[Audio] DIMENSIONAL ANALYSIS Convert kilograms to pounds Calculate total daily dose in milligrams Convert milligrams to grams Convert grams to milliliters Final dose: 1.833 mL per day.
[Audio] What I would tell the mother “ Based on your child’s weight and the prescription instructions, your child needs 1.833 mL of the liquid medication per day. You can measure this using an oral syringe or medication cup that shows milliliters. Be sure to give the full amount each day as prescribed. If you have any concerns or questions, please don’t hesitate to ask the pharmacist or the doctor for more help”.
[Audio] PROFESSIONAL FIELD Dimensional analysis is used in many professional fields, especially in healthcare. Nurses use it to calculate medication dosages, IV drips rates, and infusion times to ensure patients receive safe and accurate treatment. Pharmacists rely on dimensional analysis when compounding medications and converting between units. Outside of healthcare , it is also used in science, engineering, and even cooking, where precise measurements are required.”.
[Audio] CONCLUSION What I learned is using dimensional analysis ensures accurate medication administration, especially when caring for pediatric patients where small errors can have serious consequences. Proper unit conversion reduces dosing errors and supports patient safety, which is a critical responsibility in nursing practice..