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VCE 11 General 2023

10.02 Measurement units

Worksheet
Convert units of length
1

Convert the following to millimetres:

a
6 \text{ cm}
b
6.52 \text{ cm}
c
6.54 \text{ m}
d

7 \text{ m} and 32 \text{ cm}

2

Convert the following to centimetres:

a
7.2 \text{ m}
b
6.22 \text{ km}
c
25.97 \text{ mm}
d

59 \text{ m} and 12 \text{ cm}

3

Convert the following to metres:

a

1.85 \text{ km}

b
5147 \text{ mm}
c
7665 \text{ cm}
d

42 \text{ km} and 1300 \text{ mm}

4

Convert the following to kilometres:

a

18\,445 \text{ m}

b
6\,035\,400 \text{ mm}
c
512\,200 \text{ cm}
d

9420 \text{ m} and 2500 \text{ cm}

Convert units of area
5

Convert the following to square metres (\text{m}^2):

a

0.56\text{ km}^2

b

34\,000\text{ cm}^2

c

10.4 hectares

d

56\,000\,000 \text{ mm}^2

6

Convert the following to square centimetres (\text{cm}^2):

a

7\text{ m}^2

b

810\text{ mm}^2

c

64.8\text{ m}^2

d

0.003\text{ km}^2

7

Convert the following to hectares:

a

54\,800\text{ m}^2

b

20\,000 square metres

c

3 \text{ km}^2

d

40\,000 square kilometres

8

Convert 790\,000\,000\text{ cm}^2 to \text{ km}^2.

Convert units of volume and capacity
9

Convert the following to cubic centimetres:

a

1 \text{ mL}

b

8000 \text{ mL}

c

9\text{ L}

d

2.25 \text{ mL}

10

Convert the following to millilitres:

a

0.4 \text{ L}

b

1 \text{ cm}^3

11

Convert the following to litres:

a
1.67 \text{ kL}
b

2000 \text{ mL}

c

5 \text{ kL}

d

240 \text{ mL}

e
9 \text{ kL}
f

4.25\text{ m}^3

g

0.3\text{ m}^3

h

450\text{ cm}^3

12

Convert 6000\text{ L} to cubic metres \left( \text{m}^3 \right).

13

Convert 84.6 \text{ L} to \text{kL}.

Applications
14

Plant 1 grows 4.8 \text{ cm} in a week.

Plant 2 grows 50 \text{ mm} in the same week.

Which plant grows more in the week?

15

The Qinghai-Tibet railway in China includes the Tanggula Pass. At 5072 metres high, it is the world’s highest railway track.

a

How many centimetres high is the track?

b

How many kilometres high is the track?

16

Roald wants to lay a row of five square pavers along the edge of his 3 \text{ m} garden bed as shown:

How long is the side of each paver?

17

Tobias wants to lay a row of five square tiles along the edge of his 6 \text{ m} pool as shown:

How long is the side of each tile?

18

A car is 5 \text{ m} long and a truck is 821 \text{ cm} long. How many metres longer is the truck than the car?

19

A fly is 1.56 \text{ cm} long and a bee is 18 \text{ mm} long. How many centimetres longer is the bee than the fly?

20

The following table displays the heights of different skyscrapers from countries around the world:

\text{Name}\text{Height (m)}\text{Height (km)}
\text{Pertronas Twin Towers}451.9
\text{One World Trade Center}0.5413
\text{Shanghai Tower}632
\text{Burj Khalifa}0.828
\text{Zifeng Tower}450
a

Complete the conversion table for the skyscrapers. Round the heights in metres to the nearest whole and round the heights in kilometres to three decimal places.

b

Which skyscraper is the tallest?

21

A brick is 230 \text{ mm} long.

a

Find the length of the brick in centimetres.

b

If 17 bricks were lined up lengthways to build a fence, how long would the fence be in metres?

22

The wingspan of a jumbo jet is 6000 \text{ cm}:

If 26 jumbo jets are lined up wing-to-wing, for how many kilometres would the jets stretch?

23

Twelve plants are to be planted in a square planter box has a side length of 1 \text{ m}.

Determine the area available for each of the twelve plants in square centimetres if they are evenly spaced. Round your answer to two decimal places.

24

Rectangular farms around Australia were measured and their dimensions recorded in the following table:

a

Find the area of each farm.

b

Which farms have an area of more than 1 ha?

c

Which farms have an area of less than 1 ha?

d

Which farm has an area of exactly 1 ha?

\text{Farm}\text{Length}\\ \text{(m)}\text{Width}\\ \text{ (m)}\text{ Area}\\ (\text{ m}^2)
1200100
235021
310024
440040
5100100
25

How many 150 millilitre jugs of soda water will be needed to fill a 2.4 litre container?

26

279 children went on a picnic. Each child drank 400 millilitres of orange juice.

Calculate the number of litres consumed altogether.

27

A tap is dripping at the rate of 4 millilitres of water per minute.

How many litres of water will be lost in one day?

28

This baby bottle holds 100 \text{ mL} of milk.

Find its volume in \text{cm}^3.

29

This water bottle has a volume of 700 \text{ cm}^3.

a

Find its capacity in millilitres.

b

Find its capacity in litres.

30

A jug has a volume of 12\,395 \text{ cm}^3.

How many litres of soda water can it hold? Round your answer to three decimal places.

31

This jug has a volume of 2000 \text{ cm}^3.

How many litres of juice can it hold?

32

This popper contains 1600 \text{ mL} of juice.

a

Find its volume in \text{ cm}^3.

b

Calculate the length of the popper if it is 8 \text{ cm} tall and 5 \text{ cm} wide.

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Outcomes

U2.AoS4.1

the measures of length, area, volume and capacity and their units of measurement

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