Question

the density of a material in CGS system of units is 4gm/cm^3. in a system of units in which unit of length is 10 cm and unit of mass is 100 gm, the value of density of material will be

Answer 1

1$\frac{g}{cm^3}$
= 1$\frac{g}{cm*cm*cm}$
= 0.01$\frac{100g}{cm*cm*cm}$ (1/100)
= 10 $\frac{100g}{10cm*10cm*10cm}$ (0.01×1000)
Therefore, 4 g/cm³ = 40 (100 g/10 cm³)