Question

The density of mercury is 13.6g/cm3 in cgs. System find the vue in si units

Answer 1

SI unit of density is Kg/m³
1 m = 100 cm => 1 cm = 10-² m
1 Kg = 1000g => 1g = 10-³ Kg

now,
13.6 g/cm³ = 13.6 × ( 10-³)/(10-²)³ Kg/m³

= 13.6 × 10-³/10^-6 Kg/m³

= 13.6 × 10^(-3 + 6) Kg/m³

= 13.6 × 10³ Kg/m³

Answer 2

Hey there!

Density SI unit is kg/m³

So, convert it into kg/m³
i.e 1 cm = 10-² m and 1g = 10-³ kg 

Now, We can convert density of mercury.

13.6 g/cm³
= 13.6 × ( 10-³)/(10-²)³ kg/m³ 
= 13.6 × 10^(-3 + 6) kg/m³ 
= 13.6 × 10³ kg/m³   ← Ans