Units of Measurement 4
Conversion of Units

It is useful to be aware of both metric and Imperial units and to be able to convert between them.

Imperial Units
1 foot = 12inches
1 yard = 3feet
1 mile = 1760yards
1 pound (lb) = 16ounces
1 stone = 14pounds
1 gallon = 8pints
Conversion Facts
1 kg is about 2.2 lbs.
1 gallon is about 4.5 litres.
1 litre is about 1.75 pints.
5 miles is about 8 km.
1 inch is about 2.5 cm.
1 foot is about 30 cm.

Worked Examples

1

John is measured. His height is 5 feet and 8 inches.

Find his height in:

(a)

inches,

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There are 12 inches in one foot, so

John's height = 5 × 12 + 8
= 60 + 8
= 68 inches
(b)

centimetres,

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1 inch is about 2.5 cm, so

John's height = 68 × 2.5
= 170 cm
(c)

metres.

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1 metre = 100 cm, so

John's height = 1.7 m
2

A family travels 65 miles on holiday. Convert this distance to km.

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As 5 miles is approximately equal to 8 km, first divide by 5 and then multiply by 8.

65 ÷ 5 = 13
13 × 8 = 104

So 65 miles is approximately the same as 104 km.

3

John weighs 8 stone and 5 pounds. Find John's weight in:

(a)

pounds,

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There are 14 pounds in 1 stone, so

John's weight = 8 × 14 + 5
= 112 + 5
= 117 lbs
(b)

kg.

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As 1 pound is about 0.45 kg,

John's weight = 117 × 0.45
= 53 kg (to the nearest kg)
4

A line is 80 cm long. Convert this length to inches.

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1 inch = 2.5 cm
= 32, so the line is about 32 inches long.

Exercises

Convert each quantity to the units given.

(a)
3 inches to cm
(b)
18 stone to pounds
(c)
6 lbs to ounces
(d)
6 feet 3 inches to inches
(e)
15 kg to lbs
(f)
3 yards to inches
(g)
3 feet to cm
(h)
5 gallons to litres
(i)
120 inches to cm
(j)
45 kg to lbs
(k)
9 litres to pints
(l)
45 gallons to litres
(m)
8 litres to pints
(n)
6 gallons to pints

Convert each quantity to the units given. Give answers to 1 decimal place.

(a)
8 lbs to kg
(b)
3 lbs to kg
(c)
16 pints to litres
(d)
10 cm to inches
(e)
400 cm to feet
(f)
80 ounces to pounds
(g)
182 lbs to stones
(h)
50 litres to gallons
(i)
84 inches to feet
(j)
52 cm to inches
(k)
16 litres to gallons
(l)
3 pints to litres
(m)
6 lbs to kg
(n)
212 cm to feet

A car travels on average 10 km for every litre of fuel. The car is driven from Chichester to Woking, a distance of 41 miles.

(a)
How far does the car travel in km?
(b)
How many litres of fuel are used?
(c)
How many gallons of fuel are used?
Round up to 2 d.p.

Jimar is 6 feet 2 inches tall and weighs 11 stone 5 pounds.

Sam is 180 cm tall and weighs 68 kg.

Who is the taller and who is the heavier?

is taller and is heavier.

A customer asks for a sheet of glass 15 inches by 24 inches. What would be the area of the glass in cm2?

cm²

The same quantity can sometimes be measured in different units.

(a)

Write out the statement below, filling in the missing unit.
Choose the unit from this list:
millimetres, centimetres, metres, kilometres

1 inch = 2.54
(b)

Write out the statement below, filling in the missing unit.
Choose the unit from this list:
millilitres, litres, gallons, cubic metres

1 gallon = 4.55

Mary is 5 feet 3 inches tall.

1 cm = 0.394 inches

12 inches = 1 foot

(a)

Calculate Mary's height in centimetres.
Give your answer to an appropriate degree of accuracy.

cm
(b)

An electronic weighing scale gives Mary's weight as 63.4792 kg.
Give her weight correct to an appropriate degree of accuracy.

kg