Conversion Between Metric And Us Customary Units Worksheet Page 5
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Solution
(i)
2.5 gal to litres:
3.785 L
c
m as the conversion factor to cross-cancel the unit ‘gal’ .
Use
1 gal
3.785 L
c
m
2.5 gal = 2.5 gal ×
1 gal
= 2.5 × 3.785 L
= 9.4625 L
= 9.46 L
Therefore, 2.5 gal is equal to 9.46 L.
(ii)
30 fl oz to litres:
Useful Comparisons
1 L
29.57 mL
c
m
■ 1 kg is a little more
c
m as the first conversion factor to cross-cancel the unit ‘fl oz’ and 1, 000 mL
Use
1 fl oz
than 2 pounds.
■ 1 L is a little more
as the second conversion factor to cross-cancel the unit ‘mL’.
than a quart.
■ 1 km is a little more
29.57 mL
1 L
than half a mile.
c
m ×
c
m
30 fl oz = 30 fl oz ×
1 fl oz
1, 000 mL
■ 1 m is a little more
than a yard.
29.57
= 30 ×
L
■ 1 cm is a little less
1, 000
than half an inch.
= 0.8871 L
= 0.89 L
Therefore, 30 fl oz is equal to 0.89 L.
Conversion of Temperature Scales
Celsius and Fahrenheit Scale
There are two main temperature scales in use:
(1) °C, the Celsius scale
(2) °F, the Fahrenheit scale
The Celsius scale (°C) is part of the metric system, used in most countries. The Fahrenheit scale (°F)
is primarily used in the USA.
The Celsius scale (°C) derives from the basis that pure water, at sea level pressure, freezes at 0°C and
boils at 100°C. The Fahrenheit scale (°F) derives from the basis that pure water, at sea level pressure,
freezes at 32°F and boils at 212°F.
Therefore, the difference between the freezing and boiling points of water is 100° in the Celsius scale
(100°C − 0°C) and 180° in the Fahrenheit scale (212°F − 32°F).
Water Freezes
Water Boils
Celsius Scale
0 °C
100 °C
100 Units
(each unit is 1°C)
Fahrenheit Scale
32 °F
212 °F
180 Units
(each unit is 1°F)
100 units in the Celsius scale, starting from 0°C, is equivalent to 180 units in the Fahrenheit scale,
starting from 32°F.
7.3 Conversion Between Metric and US Customary Units
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