Cambridge International Mathematics

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Mensuration (solids and containers) (Chapter 11) 239

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11 Find a formula for the total surface area of:

ab

Challenge:

12 The figure shown is half a cone, formed by cutting a cone

from its apex directly down to the centre of its base.

Write a formula for the total surface areaAof the object

in terms ofrandh.

Thevolumeof a solid is the amount of space it occupies. It is measured incubicunits.

UNITS OF VOLUME

Volume can be measured in cubic millimetres, cubic centimetres or cubic metres.

Since 1 cm=10mm, we can see that:

1 cm^3

=10mm£ 10 mm£ 10 mm

= 1000mm^3

Likewise, since 1 m= 100cm, we can see that:

1 m^3

= 100cm£ 100 cm £ 100 cm

= 1 000 000cm^3

B VOLUME [6.1, 6.4]

c

b

a

b

a

c

2 x

5 x

3 x

x

x

4 x

2 ¡+¡1x

2 x

1cm

1cm

1cm

10 mm

10 mm

10 mm

1m

1m

1m

100 cm

100 cm

100 cm

IGCSE01

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100 100
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100 100
Y:\HAESE\IGCSE01\IG01_11\239IGCSE01_11.CDR Tuesday, 28 October 2008 3:16:24 PM PETER