19. We introduce the notion of density:
ρ
=
m
V
and convert to SI units: 1 g = 1
×
10
−
3
kg.
(a) For volume conversion, we find 1 cm
3
= (1
×
10
−
2
m)
3
= 1
×
10
−
6
m
3
. Thus, the density
in kg/m
3
is
3
3
3
3
3
3
6
3
1 g
10
kg
cm
1 g cm
1
10
kg m .
cm
g
10
m
−
−
§
· §
·
§
·
=
=
×
¨
¸ ¨
¸
¨
¸
©
¹
©
¹ ©
¹
Thus, the mass of a cubic meter of water is 1000 kg.
(b) We divide the mass of the water by the time taken to drain it. The mass is found from
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 Spring '08
 shylnov
 Physics, International System of Units, SI prefix, Kilogram, kg, Litre, Metre

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