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Metric Conversion Tables and Practice Problems for Linear and Volume Measures

Learn to convert between inches, feet, yards, miles, and their metric equivalents. Understand cubic inches, feet, ounces, gallons, and their metric counterparts. Explore mass, volume, and density concepts with practice exercises and formulae.

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Metric Conversion Tables and Practice Problems for Linear and Volume Measures

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  1. English – Metric Conversion Tables

  2. Linear Measure

  3. 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

  4. Volume Measure

  5. Volume Practice • Cubic inches to cubic centimeters 15 in3 = ??? cm331.7 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

  6. Mass Measure

  7. Physical Properties Mass, Volume, and Density

  8. Mass What do you know about mass?

  9. 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).

  10. Volume What is Volume?

  11. 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

  12. Density How does Density relate to Mass and Volume?

  13. Density • The amount of matter in a given space. • Does this sound familiar? • Concentration or Compactness • The unit for density is or .

  14. Mass, Volume, and Density • Mass volume and density are directly related. Practice Exercise: • Measure the mass and volume of an object in the room. • Calculate the Density of the Object. • What are the units associated with this calculation?

  15. Formulae Density = Mass / Volume Mass = Density x Volume Volume = Mass / Density

  16. Practice Problems • Calculate the volume of an object that is 34 cm by 25 cm by 8 cm. • Given: V = 50 mL D = .75 g/mL Calculate: Mass 3. Given: M = 55 g D = 2.3 g/cm3 Calculate: Volume • Given: M = .13 kg V = 20 mL Calculate: Density

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