Cambridge International Mathematics

248 Mensuration (solids and containers) (Chapter 11)

Themassof an object is the amount of matter in it.

In the SI system of units, the primary unit of mass is thekilogram. The units of mass are connected in the

following way:

1 gram(g) is the mass of 1 ml of pure water.

1 kilogram(kg) is the mass of 1 litre of pure water.

1 tonne(t) is the mass of 1 kl of pure water.

1 g= 1000mg

1 kg= 1000g

1 t= 1000kg

MASS UNITS CONVERSION

DENSITY

Thedensityof an object is its mass divided by its volume.

density=

mass

volume

For example, water has a density of 1 g per cm^3.

EXERCISE 11D

1 Convert:

a 3200 gtokg b 1 : 87 ttokg c 47 835mg to kg

d 4653 mg to g e 2 : 83 ttog f 0 : 0632 ttog

g 74 682gtot h 1 : 7 ttomg i 91 275gtokg

2 Kelly has 1200 golf balls each weighing 45 grams. What is the total weight of the balls in kilograms?

3 Estia has 75 kg of timber. She wants to cut the timber into cubes for a children’s game. Each cube is

to weigh 8 g. If20%of the timber is wasted due to saw cuts, how many cubes can be made?

4 Find the density of these objects in g per cm^3 :

ab

D MASS [6.1]

t kg g mg

̧1000 ̧1000

́1000 ́1000

̧1000

́1000

4cm

3cm

2cm

36 g 4cm

6cm

110 g

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y:\HAESE\IGCSE01\IG01_11\248IGCSE01_11.CDR Thursday, 25 September 2008 12:43:55 PM PETER