Question

the relative error in the measurement of the side of a cube is 0.027.The relative error in the measurement of its volume is

Answer 1

The volume is calculated by multiplying length, width and height of an object. As we know that all the three sides of a cube are equal, so its volume can be calculated by multiplying any of its sides three times. 
Relative Error of a side of a cube is 0.027 units.
Hence relative error in the volume is 0.027 x 0.027 x 0.027
                                                        =  0.000019683 units³
                                                        =  1.9 x 10⁻⁵  units³