The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the maximum error in the measurement of mass and length are 0.3 % and 0.2 % respectively, the maximum error in the estimation of the density of the cube is approximately.

Step-by-step solution

Given, Maximum error in the measurement of mass =0.3 % Maximum error in the measurement of length =0.2 % We know that, Error in density is given as, Density, = mass (m) volume (V) = m L³ where, L= side of cube Error in density is given as, ( )= m m + 3 L L or ( ) 100= ( m m + 3 L L ) 100 Substituting the given values, we get ( )_ =(0.3 %+3(0.2) %=0.3 %+0.6 % Maximum percentage error measurement of density ( )_ =0.9 %