 Dimensional Analysis Exercises

Answer the following to the best of your ability. Questions left blank are not counted against you. When you have completed every question that you desire, click the "MARK TEST" button after the last exercise. A new page will appear showing your correct and incorrect responses. If you wish, you may return to the test and attempt to improve your score. If you are stumped, answers to numeric problems can be found by clicking on "Show Solution" to the right of the question.

Do NOT type units into the answer boxes, type only the numeric values. Do NOT use commas or scientific notation when entering large numbers. Answer all non-integer questions to at least 3 significant figures. Correct answers MUST be within ± 1 unit of the third significant figure or they are scored as wrong.

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This set of questions uses the conversion factors below (These conversions are
EXACT, meaning they are infinitely significant):

1 dozen = 12 things
1 six-pack = 6 drinks
1 case = 24 drinks

7 Dozen        =  Donuts 72 Sodas       =  Six-packs 8 Dozen drinks =  Cases This set of questions uses the conversion factors below (These conversions are
EXACT, meaning they are infinitely significant):

1 hour = 60 minutes
1 minute = 60 seconds
1 day = 24 hours

1 week = 7 days
1 year = 365.25 days
1 century = 100 years

1 Week             =  Seconds 2 Centuries        =  Minutes 30 Seconds         =  Days 10,000,000 Seconds =  Years This set of questions involves metric prefix interconversion.
To review the meanings of each metric prefix, review the Metric Units Lesson.
(These conversions are all EXACT, meaning they are infinitely significant):

1 Gigabyte   =  Bytes 1 Micrometer =  Hectometers 1 Kilogram   =  Milligrams 1 CentiLiter =  DecaLiters This set of questions uses the conversion factors below.
Metric interconversions are assumed to be known (see the Metric Units Lesson).
Conversions which are EXACT are stated as such.  Otherwise,
the significance of the conversion factor is limited by the number of significant figures presented:

1 mile = 5280 feet (exactly)
1 foot = 12 inches (exactly)
1 inch = 2.54 cm (exactly)

1 pound = 16 ounces (exactly)
1.00 pound = 454 grams
1 yard = 3 feet (exactly)

1 gallon = 4 quarts (exactly)
1 pint = 16 fluid ounces (exactly)
1 ton = 2000 pounds (exactly)

1 quart = 2 pints (exactly)
1.00 Liter = 1.06 quarts
1 milliliter = 1 cm3 (exactly)

1 Mile           =  Kilometers 8 Fl. Ounces     =  Gallons 1 Ton            =  Grams 35.3 Centiliters =  Fl. Ounces 1 Pound          =  Milligrams 1 inch           =  Millimeters This set of questions involve multi-dimensional unit conversion using the above conversion factors.
To review this type of conversion, see the Dimensional Analysis lesson.

1 Yd2   =  In2 1 m3    =  km3 1 Ft3   =  m3 327 In3 =  L This set of questions involve conversions in both the numerator and denominator of a combination of units.  To review this type of conversion, see the Dimensional Analysis lesson.

60 miles/hour =  ft/s 925 ft/min2   =  m/s2 5.0 gal/day   =  mL/min 1.0 kg/m3     =  g/mL ```
Press the button below to score your test:

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