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iGCSE (2021 Edition)

10.16 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

0607C7.1

Units: mm, cm, m, km, mm^2, cm^2, m^2, ha, km^2, mm^3, cm^3, m^3 ml, cl, l, g, kg, t.

0607E7.1

Units: mm, cm, m, km, mm^2, cm^2, m^2, ha, km^2, mm^3, cm^3, m^3 ml, cl, l, g, kg, t.

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