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Academic Chemistry
Unit Conversion Problems
Worksheet
Name: _______________________
Date: ______________ Pd: ______
Learn the meaning of the SI prefixes listed below. These prefixes can be used with any SI base measure.
For example, 1 kg = 103 g, 1 km = 103 m, 1 kL = 103 L
SI Prefixes:
Prefix
gigamegakilo-
Symbol
Multiplier
Prefix
Symbol
Multiplier
G
M
k
x 109
x 106
x 103
DeciCentiMilliMicroNano-
d
c
m

n
x 10-1
x 10-2
x 10-3
x 10-6
x 10-9
SI Base Units:
Length
Mass
Volume
Time
Temperature
meters (m)
kilograms (kg)
cubic meters (m3)
seconds (s)
kelvins (k)
Other Common Unit Conversions:
Volume:
1 liter (L) = 1 dm3 = 103 cm3
1 mL = 1 cm3
Make the following calculations and conversions. Show work. Include units throughout the problem.
Circle your final answer. Report answers rounded to the correct number of significant figures. Present
neat and organized solutions.
1)
2)
3)
4)
Convert 0.058 grams to centigrams.
Convert 2.45 x 10-7 meters to nanometers.
Convert 1.5 kilograms to milligrams.
Trent Cole is a defensive end for the Philadelphia Eagles. According to the Philadelphia Eagles
homepage, he stands 6’3” tall. Convert 6’3” to centimeters. Exactly 2.54 cm equals 1 in.
5) According to the same source, Trent Cole weighs 270 lb. Calculate Trent’s mass in kilograms.
Assume 1 lb equals 454 grams.
6) Convert 250 cubic centimeters to liters.
7) Convert 0.00000083 milligrams to micrograms.
8) Convert 2.5 gigahertz to megahertz.
9) A car travels at a speed of 140 kilometers per hour. Convert this speed to meters per second.
10) A car travels at a speed of 35 mi/h. Convert this speed to m/s. Assume that 1.609 km = 1 mi.
11) How many kilometers will light travel in one year? The measured speed of light in a vacuum is
3.00 x 108 m/s.
12) Tailback, Tony Hunt, came to the Eagles from Penn State with 4.5 speed in the hundred. This
means that it takes Tony 4.5 seconds to run 100 yards. How long will it take Tony to run 100
meters? (Hint: See question 4 for additional information)
13) Gold has a density of 19.3 grams per cubic centimeter. Convert this density to kilograms per liter.
14) What is the mass of a 50.0 mL sample of lead? The density of lead is 11.4 g/cm3.
15) A box measures 25 centimeters by 33 millimeters by 4.5 x 104 micrometers. Calculate the volume
of the box in liters.
16) A cube has a volume of 1.95 liters. Calculate the length of an edge of the cube in centimeters.
17) Convert the volume of the box from question 16 to cubic inches.