1. Different units for different purposes: (3) Volume.

2. 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.”

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

4. 44 gallon container.

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

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

7. 1 litre 1 litre = 1000 cm3, 1 millilitre (ml) = 1 cm3
Also, 10 cm = 1 decimetre, so sometimes written as 1 litre = 1 dm3

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

10. A heating oil tank
1250 litres = 1.25 m3

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

12. 1 cubic metre of concrete
How many 1 litre blocks would make 1 cubic metre?

13. 10 blocks, each 10 cm × 10 cm × 10 cm? We need more blocks
That’s NOT 1m3 !
We need more blocks

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

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

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

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

18. 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.