English – Metric Conversion
Tables
Linear Measure
Imperial
Metric
1 inch [in]
2.54 cm
1 foot [ft]
12 in
0.3048 m
1 yard [yd]
3 ft
0.9144 m
1 mile
1760 yd
1.6093 km
1 nautical mile
2025.4 yd
1.852 km
Linear Measure Practice
• Inches to Centimeters and cm to in
34.3 in = ??? cm
94 cm = ??? in
• Feet to Meters and m to ft
8 ft = ??? m
323 m = ??? ft
• Yards to Meters and m to yd
100 yd = ??? m
7.24 m = ??? yd
• Miles to Kilometers and km to mi.
51.8 mi = ??? km
5 km = ??? mi
Volume Measure
Imperial
Metric
1 in3 Cubic Inches
16.387 cm3
1 ft3 Cubic Feet
1,728 in3
1 fl oz Fluid Ounces
0.0283 m3
23.625 ml
1 pt Pint
20 fl oz
0.4725 l
1 gal
8 pt
3.780 l
Volume Practice
• Cubic inches to cubic centimeters
15 in3 = ??? cm3
31.7 cm3 = ??? in3
• Cubic feet to cubic meters
3 ft3 = ??? m3
894 m3 = ??? ft3
• Ounces to milliliters
89 oz = ??? ml
89 ml = ??? oz
• Gallons to liters
4 gal = ??? L
63 L = ??? gal
Mass Measure
Imperial
Metric
1 ounce [oz]
437.5 grain 28.35 g
1 pound [lb]
16 oz
0.4536 kg
1 stone
14 lb
6.3503 kg
1 hundredweight [cwt] 112 lb
50.802 kg
1 long ton (UK)
20 cwt
1.016 t
1 short ton (US)
2,000 lb
0.907 t
Physical Properties
Mass, Volume, and Density
Mass
What do you know about mass?
Mass
• Measure of the amount of matter that
makes up an object.
• Units used to designate mass are
kilograms (kg)
• You can measure an objects mass using a
balance (triple beam, electronic, spring).
Volume
What is Volume?
Volume
• Volume is a measurement of the threedimensional space occupied by an object.
• Units include cm3 and mL.
• Solids, liquids, and gases all have volume,
but you measure each differently.
– Solid – calculate geometrically or displacement
– Liquid – measure using a graduated cylinder
Density
How does Density relate to Mass
and Volume?
Density
• The amount of matter in a given space.
– Does this sound familiar?
• Concentration or Compactness
• The unit for density is
or
.
Mass, Volume, and Density
•
Mass volume and density are directly related.
Practice Exercise:
1. Measure the mass and volume of an object in the
room.
2. Calculate the Density of the Object.
3. What are the units associated with this
calculation?
Formulae
Density = Mass / Volume
Mass = Density x Volume
Volume = Mass / Density
Practice Problems
1. Calculate the volume of an object that is 34
cm by 25 cm by 8 cm.
2. Given:
V = 50 mL
Calculate: Mass
D = .75 g/mL
3. Given:
M = 55 g
Calculate: Volume
D = 2.3 g/cm3
4. Given:
M = .13 kg
Calculate: Density
V = 20 mL