It helps if you break manĝilaro down into each of its parts.
Manĝ- to eat
il- a tool
ar- a group
Therefore manĝilaro is a group of tools used to eat, ie silverware or cutlery.
Is silverware the usual American term for cutlery? I think of a silver tea service or silver trays when I think of silverware; not that I have ever owned any.
Edit: Previously answered on another thread - Yes the words Silverware and Flatware are American terms for cutlery.