English – Metric Conversion Tables

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

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

Imperial Metric

1 in3 Cubic Inches 16.387 cm3

1 ft3 Cubic Feet 1,728 in3 0.0283 m3

1 fl oz Fluid Ounces 23.625 ml

1 pt Pint 20 fl oz 0.4725 l

1 gal 8 pt 3.780 l

Volume Measure

Volume Practice

• Cubic inches to cubic centimeters15 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

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

Mass Measure

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 three-dimensional 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 Problems1. Calculate the volume of an object that is 34

cm by 25 cm by 8 cm.

2. Given: V = 50 mL D = .75 g/mLCalculate:Mass

3. Given: M = 55 g D = 2.3 g/cm3

Calculate: Volume

4. Given: M = .13 kg V = 20 mLCalculate:Density