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, ρ=
mass (m)
volume (V)
=
m
L3
where, L = side of cube Error in density is given as, (
∆p
ρ
)=
∆m
m
+
3∆L
L
or (
∆ρ
ρ
)×100=(
∆m
m
+
3∆L
L
)×100
Substituting the given values, we get
(
∆p
ρ
)max=(0.3%+3(0.2)%)=0.3%+0.6%
∴ Maximum percentage error measurement of density (