The maximum error in the measurement of the density and mass of the uniform cube are 8% and 2% respectively. Hence, the maximum error in the measurement of length will be

Step-by-step solution

The density of a uniform cube is given by the formula: = M V = M L^3 The maximum percentage error in the measurement of density is given by the sum of the percentage errors of the individual measured quantities: 100 = M M 100 + 3 ( L L 100 ) Given that the maximum percentage error in density is 8 % and the maximum percentage error in mass is 2 % , substituting these values yields: 8 % = 2 % + 3 ( L L 100 ) 3 ( L L 100 ) = 8 % - 2 % = 6 % L L 100 = 2 % Therefore, the maximum error in the measurement of length is 2 %