Object A has a mass of 12 g and a density of 3 g/cm3. Object B has a mass of 12 g and a density of 5 g/cm3. Which object has a greater volume and by how much?
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ANSWER
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Formula : Density = Mass / Volume
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For Object A,
Density = 3 g/cm^3
Mass = 12 g
Density = Mass / Volume
=> Volume = Mass / Density
=> Volume = 12 / 3
=> Volume of Object A = 4 cm^3
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For Object B,
Density = 5 g/cm^3
Mass = 12 g
Density = Mass / Volume
=> Volume = Mass / Density
=> Volume = 12 / 5
=> Volume of Object B = 2.4 cm^3
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◆ Hence, Volume of Object A is more than that of Object B by (4 - 2.4) i.e. 1.6 cm^3
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This also proves that for same mass
◆ Density is inversely proportional to Volume.
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_______________________________
Formula : Density = Mass / Volume
_______________________________
For Object A,
Density = 3 g/cm^3
Mass = 12 g
Density = Mass / Volume
=> Volume = Mass / Density
=> Volume = 12 / 3
=> Volume of Object A = 4 cm^3
______________________________
For Object B,
Density = 5 g/cm^3
Mass = 12 g
Density = Mass / Volume
=> Volume = Mass / Density
=> Volume = 12 / 5
=> Volume of Object B = 2.4 cm^3
_______________________________
◆ Hence, Volume of Object A is more than that of Object B by (4 - 2.4) i.e. 1.6 cm^3
_______________________________
This also proves that for same mass
◆ Density is inversely proportional to Volume.
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