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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