Question

Conversion factor between si and cgs unit of density

Answer 1

Answer:The SI unit of kilogram per cubic metre (kg/m3) and the cgs unit of gram per cubic centimetre (g/cm3) are probably the most commonly used units for density

10^-3 is the conversion factor between the two units.

Explanation:10^-3 is the conversion factor between the two units.

Answer 2

Density is the space an object or a substance uses in relation to the matter that is present in that object

• The SI unit of density is Kg/$m^{3}$

• The CGS unit of density is g/$cm^{3}$

The Conversion Factor between the SI and CGS unit of Density

The equation for the density is Mass/Volume

The SI unit of mass Kg

The SI unit of Volume is $m^{3}$

The CGS unit of mass is g

The CGS unit of Volume is $cm^{3}$

we know that 1 kg is equal to 1000 gm and 1 $m^{3}$ is equal to $100^{3}$ $cm^{3}$

Therefore $\frac{1 kg}{m^{3} }$ can be written as $\frac{1000g}^100^{3}{cm^{3} }$ which is now in the CGS unit

During conversion the formula becomes $\frac{10^{3} }{10^{6} }$ $\frac{g}{cm^{3} }$ = $10^{-3}$ $\frac{g}{cm^{3} }$

Therefore the conversion of SI and CGS units of density is $10^{-3}$