We know that the density of a cube can be measured by measuring its mass and length of its side. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, what is the maximum error in the measurement of the density of the cube?

Explanation

Here `(Delta M)/( M) xx 100 = 3% , (Delta L)/( L) xx = 2%`
Density `d= (M)/( V) = ("Mass(M)") /( "Length(L)"^(3) ) =(M)/( L^3)`
Maximum error in the measurement of density
`(Delta d)/( d) xx 100 = (Delta M)/( M) xx 100+3 (Delta L)/( L) xx 100`
`= 3 + (3xx 2) = 3+ 6 = 9%`
`therefore` Maximum error in the measurement of density `=9%