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 100= 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 = (DeltaM)/(M) xx 100 + 3 (Delta L)/(L) xx 100`
`=3 +(3 xx 2) = 3+6) = 9%`
`therefore` Maximum error in the measuremetn of density = 9%