The density of a cube is measured by measuring its mass and length of its sides. The % error in the measurement of mass and length are 5 % and 6 % respectively. The percentage error in the measurement of density is

Step-by-step solution

The density of a cube is given by = M L⁻³ , where M is mass and L is side length. For quantities of the form Q = A^x B^y , the percentage error propagates as Q Q 100 % = |x| A A 100 % + |y| B B 100 % . Given 5 % error in mass measurement and 6 % error in length measurement: 100 % = |1| 5 % + |-3| 6 % = 5 % + 18 % = 23 % The percentage error in density measurement is 23 % , corresponding to choice B .