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152 Chapter 3 Measurement and Pythagoras’ theorem

3 How many rectangular faces are on these solids?

a triangular prism b rectangular prism

c hexagonal prism d pentagonal prism

Pentagonal prism

Example 15

4 Find the surface area of these prisms.

a

b

c

2 cm

8.2 m

2 cm

1 cm

3 cm

d

5 m

f

9 cm

12 cm

8 cm

12 cm

4 cm e 4 m

3 m

6 m

15 cm

14 cm

g

6 mm

h

i

1.5 m

4 mm

6 mm

8 m

4.2 m

3 m

5 mm

5 This prism has two end faces that are parallelograms.

a Use A = bh to find the combined area of the

two ends.

b Find the surface area of the prism.

2 cm 1.5 cm

6 cm

8 cm

PROBLEM-SOLVING AND REASONING

6, 7, 10 6–8, 10, 11

7–11

6 An open box (with no lid) is in the shape of a cube and is painted on the outside including the

base. What surface area is painted if the side length of the box is 20 cm ?

7 A book measuring 20 cm long, 15 cm wide and 3 cm thick is covered in plastic. What area of

plastic is needed to cover 1000 books? Convert your answer to m 2 .

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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