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4.06 Units of volume and capacity

Worksheet
Units of volume and capacity
1

The cube shown in the diagram has a volume of 1 \text{ cm}^3. Find its volume in cubic millimetres.

2

Convert the following to cubic millimetres:

a

3.5\text{ cm}^3

b

4.2\text{ m}^3

c

4\text{ m}^3

d

19 \text{ cm}^3

3

Convert the following to cubic centimetres:

a

47\,600\text{ mm}^3

b

8.12\text{ m}^3

c

7000\text{ mm}^3

d

33\text{ m}^3

e

1\text{ mL}

f

8000\text{ mL}

g

40\text{ mL}

h

4.47\text{ mL}

4

What operation is required to convert cubic centimetres to cubic metres?

5

Convert the following to cubic metres:

a

1\,070\,000\,000\text{ mm}^3

b

51\,980\,000\text{ cm}^3

c

460\,000\,000 \text{ mm}^3

d

16\,000\,000 \text{ cm}^3

e

6000 \text{ L}

f

800 \text{ L}

g

18 \text{ kL}

h

0.95 \text{ kL}

6

Which metric unit represents 'one thousandth of a litre'?

7

Which metric unit represents 'one thousand millilitres'?

8

Convert the following to millilitres:

a

6 \text{ L}

b

1.54\text{ L}

c

2 \text{ kL}

d

0.17\text{ kL}

e

1\text{ cm}^3

f

8.5\text{ cm}^3

g

9000\text{ mm}^3

h

0.005\text{ m}^3

9

Convert the following to litres:

a

4920 \text{ mL}

b

5000\text{ mL}

c

9 \text{ kL}

d

1.67\text{ kL}

e

18.62\text{ m}^3

f

2\text{ m}^3

g

6750\text{ cm}^3

h

800\text{ cm}^3

10

Convert the following to kilolitres:

a

6570\text{ L}

b

84.6\text{ L}

c

1\,500\,000\text{ mL}

d

60\,000\text{ mL}

e

17\text{ m}^3

f

0.37\text{ m}^3

g

25\,000\,000\text{ cm}^3

h

54\,000\text{ cm}^3

Volume estimation
11

Consider the matchbox shown:

a

State the most appropriate unit for measuring the volume of a match box.

b

Estimate the volume of the matchbox.

12

The volume of the suitcase shown has a total capacity of 88\,500\text{ cm}^3.

Estimate the volume of the contained shirts.

13

The volume of the bookshelf shown below is known to be 0.64 \text{ m}^{3}.

Estimate the volume of the books on the bookshelf.

14

The volume of the bookshelf shown is known to be 0.68\text{ m}^3 .

Estimate the volume of the books on the bookshelf.

15

State the most appropriate unit for measuring the volume of the following:

a

Sand pit

b

Wardrobe

c

Water glass

d

Swimming pool

e

Air in a hall

f

Water bottle

g

Air in a balloon

Capacity estimation
16

Which units can we measure with a jug like the one in the picture?

17

State the most appropriate unit for measuring the capacity of a cup of coffee.

18

State the most appropriate unit for measuring the capacity of a fish bowl.

19

Estimate the volume of liquid in this container if it is able to hold 2400 \text{ mL} when full.

20

Estimate the volume of liquid in this container if it is able to hold 3.6\text{ L} when full.

21

Estimate the volume of liquid in this container if it is able to hold 3600\text{ mL} when full.

22

Estimate the volume of liquid in this container if it is able to hold 3.8 litres when full.

23

A landscaper needs to move soil across the garden. Choose the best estimate for the capacity of soil that can be carried by a wheelbarrow in one trip.

A
771\text{ mL}
B
21\text{ ML}
C
71\text{ L}
24

State the most appropriate unit of measure for finding the volume of the following:

a

Water in a dam.

b

A dose of vaccine injection.

c

A small carton of milk.

d

The Atlantic Ocean.

e

A dosage of medicine.

f

A bottle of washing detergent.

Applications
25

Quiana bought a 400 \text{ mL} bottle of soft drink. How many litres of soft drink did she buy?

26

The following baby bottle holds 100 \text{ mL} of milk:

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

27

The following water bottle has a volume of 700 \text{ cm}^3:

a

Find its capacity in millilitres.

b

Find its capacity in litres.

28

This juice box contains 1600 \text{ mL} of juice:

a

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

b

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

29

A cubic box has capacity of 343\text{ L}. Find its volume in cubic centimetres.

30

A small pond contains 3900\text{ L} of water. Find the capacity of the pond in cubic metres.

31

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.

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Outcomes

ACMEM027

use metric units of volume, their abbreviations, conversions between them, and appropriate choices of units

ACMEM028

understand the relationship between volume and capacity

ACMEM029

estimate volume and capacity of various objects

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