The density of a substance is defined as the mass of the
substance divided by the volume of the substance that is being
considered.
Density =
mass/volume
The density of petrol is 800 kg/m^3. One m^3 of
petrol weighs 800 kg. We have to determine the volume of 3200 kg of
petrol.
Using ratios we have 800 kg : 1 ^3, multiplying
both sides by 4 gives 3200 kg : 4 m^3. The volume of 3200 kg of petrol is 4
m^3.
The volume of 1600 kg of petrol is 1600/800 = 2
m^3.
As the density of lead is 11400 kg/m^3, the mass of 2
m^3 is 11400*2 = 22800 kg. The mass of lead with the same volume as 1600 kg of petrol is
22800 kg.
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