If the errors involved in the measurement of a side and the mass of a cube are 2 % and 4 % respectively, the maximum permissible error in the density of the material is

Step-by-step solution

The density of a cube is given by = m l^3 The maximum permissible percentage error in density is given by 100 = ( m m + 3 l l ) 100 Given m m 100 = 4 % and l l 100 = 2 % 100 = 4 % + 3 2 % = 10 % Answer: 10 %