The defending champions are unbeaten in the competition this year and continued that impressive form with a comprehensive triumph in Katowice.
Lucarelli and spiker Wallace shone both in attack and defence as Brazil were too strong for China, who will bow out of the competition.
Brazil's win sees them become only the second nation to claim 100 World Championship wins alongside Russia and ensures they stay top of Group F.
"We were very interested to win this match," said coach Bernardo Rezende. "We [have] had very tough matches against them.
"The key was that our serve was very aggressive in the first set; we got six points thanks to our serve.
"[It is] good, [the] 3-0 victory leads us closer to the next round."
Canada set a record of their own in Wroclaw as their 27-25 27-25 25-19 win over Finland was their sixth in succession.
Elsewhere in Group F, Cuba suffered another defeat, this time at the hands of Russia, while Germany sent Bulgaria out of the tournament with a 25-16 25-15 23-25 25-17 win.
In Pool E, France regained first place with victory over Australia after Iran had earlier assumed top spot with a win against Argentina.
France had to deal with a late fight back before wrapping up a 25-22 25-18 30-32 25-17 success, while Iran had a much easier night as they triumphed 25-15 25-23 25-16.
Meanwhile, hosts Poland sit second in the group after their 19-25 25-18 25-20 26-24 victory over Italy kept their hopes alive and sent their opponents home.
The United States are still in contention too, though, after coming from a set down to beat Serbia 23-25 31-29 25-17 25-21.