The density of a substance is 15 gcm^(-3). Find the mass of the substance if it's volume is 10cm(-3) in S.I units
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Explanation:
Density = Mass/Volume
Let mass be x
= x/10cm^(-3) = 15 gcm^(-3)
or, x = 15 x 10= 150 g
SI unit of density- Kg/m^3 or Kgm^(-3)
Relation between gcm^-3 and kgm^-3:
1 g/cm^3 = 1/1000/1/100x1/100x1/100 kg/m^3
= 1/100 divided by 1/1000000
1/100 x 100000/1 = 1000 Kgm^3
Hence, to convert gcm^3 to kgm^3 we multiply by hundred and vice-versa
So, 15 gcm^-3 = 15000 kgm^-3
Volume = 10 cm = 10/100 m (ans)
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