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Dimensional Analysis Problems
1. How many milligrams is 85 grams? Start with what is KNOWN: 85 g X
1000 𝑚𝑔
1𝑔
= _____________ mg
2. Hepatitis B virus (HBV) is approximately 50nm. How many mm would that be?
3. An Ascaris is isolated from a patient that is 16.4 cm long. How many inches long is the Ascaris?
16.4 cm X
1 𝑖𝑛
2.54 𝑐𝑚
= ______________ in
4. While on a vacation in Scotland you notice you are driving 50 km/hr. What is your speed in miles/hr?
5. Your child has a streptococcus infection and the physician prescribes 15ml of liquid antibiotics three times a day.
If the bottle has 550 ml of medication, how many days will the medication last? Yellow is KNOWN; blue-green is
conversion factor
550 mL X
8 ℎ𝑟𝑠
15 𝑚𝐿
X
1 𝑑𝑎𝑦
24 ℎ𝑟𝑠
= ______________ days for one bottle.
For students who are still wondering how to work dimensional analysis:
1. Start with the unknown
2. Figure out what units you want your answer in and then select your conversion factors
3. Set up your multipliers such that your undesired or starting units cancel out and the only units you want are left,
usually only in the numerator.
4. Plug in your numbers, cancel the units you can and multiply/divide.
5. Using a calculator? Then multiple all of the numerator values together enclosed in parentheses divided by all
of the denominator values enclosed in paranetheses. For example # 5 above put into your calculator like this:
(550 x 8 x 1)/(15 x 24) =