Select the option that expresses the given sentence in passive voice.…

The correct answer is Option (3) → The small village kitchen was filled with thick smoke from the wet firewood.

Passive with “with” in place of “by” (filled with):

Change	Active	Passive	Why
Object becomes subject	the small village kitchen	The small village kitchen	The kitchen receives the action, so it becomes the subject.
Tense kept	filled	was filled	“Filled” is in the simple past, so the passive stays in the simple past: was / were + past participle (V3). “Was” because it is one kitchen.
Agent (with ...)	Thick smoke from the wet firewood	with thick smoke from the wet firewood	Smoke is what fills the kitchen. After “filled”, we use “with” for the thing that fills a place, not “by”.
Full sentence	Thick smoke from the wet firewood filled the small village kitchen.	The small village kitchen was filled with thick smoke from the wet firewood.

Some other verbs also take a word other than “by”: covered with, known to, pleased with. Example: Dust covered the old books. → The old books were covered with dust.

Why the Other Options are Incorrect?

Option 1: The small village kitchen was filled of thick smoke from the wet firewood. — Incorrect. “Filled” is followed by with, not “of”.

Option 2: The small village kitchen is filled with thick smoke from the wet firewood. — Incorrect. “Is filled” is the simple present. The active “filled” is in the simple past.

Option 4: The small village kitchen had filled with thick smoke from the wet firewood. — Incorrect. “Had filled” has no “was + V3”. It is the past perfect active, not the passive of “filled”.