Different units for different purposes: (3) Volume.

Volume units Some “Imperial” units: 1 fluid ounce = 1/20 pint Historically, people used many different volume units to cover a huge range from cookery recipes to glasses of beer to bulk purchases. Some “Imperial” units: 1 fluid ounce = 1/20 pint 1 gill = ¼ pint 1 pint = 568 cm3 1 quart = 2 pints 1 gallon = 8 pints + bushels, pecks, barrels. “A pint of water is a pound and a quarter, A litre is a pint and three-quarters.”

Gallons 1 gallon = 4.545 litres A petrol container is about 1 gallon Typical fuel consumption, miles per gallon: Small motorcycle 100 mpg Small Diesel car 55 mpg Land-Rover (Freelander) 39 mpg Sports car 25 to 30 mpg Prince Harry’s helicopter 1 mpg

44 gallon container.

cubic kilometres of water The Atlantic Ocean 350 million cubic kilometres of water

A swimming pool Remember (any cuboid) volume = width × length × height

1 litre 1 litre = 1000 cm3, 1 millilitre (ml) = 1 cm3 Also, 10 cm = 1 decimetre, so sometimes written as 1 litre = 1 dm3

Holds 1 litre when full (capacity) 1 pint mark ½ litre of milk ( 500ml )

A heating oil tank 1250 litres = 1.25 m3

Mini A “1.4 litre engine” means that the cylinder capacity is 1.4 litres.

1 cubic metre of concrete How many 1 litre blocks would make 1 cubic metre?

10 blocks, each 10 cm × 10 cm × 10 cm? We need more blocks That’s NOT 1m3 ! We need more blocks

We need even more blocks 100 blocks, each 10 cm × 10 cm × 10 cm? Still NOT 1m3 ! We need even more blocks

Total 1 m3 = 1000 litres Expand 1 cube…. Each block 1 litre (10 × 10 × 10 cm) Expand 1 cube….

Total 0.001m3 = 1 litre = 1000 cm3 Expand 1 cube…. Each block 1 cm3

Total 0.000001 m3 = 1 cm3 = 1000 mm3 Each block 1 mm3 (1 × 1 × 1 mm)

Really you are multiplying by a “unit multiplier” e.g. Remember: Length Volume km -> m, × 1000 km3 -> m3, × 1,000,000,000 m -> mm, × 1000 m3 -> mm3, × 1,000,000,000 m -> dm, × 10 m3 -> litres, × 1000 dm -> cm, × 10 litres-> cm3, × 1000 m -> cm, × 100 m3 -> cm3, × 1000,000 cm -> mm, × 10 cm3 -> mm3, × 1000 (and divide to go the other way). Really you are multiplying by a “unit multiplier” e.g.