Why does metal feel colder than wood if they are both at room temperature?

The operative word here is "feel." It's not always the case that someone feels warm or cold.

Both will eventually get to the room's temperature if they were left to sit at room temperature for an extended period of time.

Because of the metal's higher thermal conductivity than that of the wood, even at the same temperature, the metal will feel colder.

Metal will transfer heat more quickly to your hand or any other object you touch it with.

In contrast, wood conducts heat poorly and will move heat away from your hand or object much more slowly—so much slower that it will be apparent—than it will from the metal.

The reason the metal felt colder than the wood—which conducted heat more slowly—is that although they felt different, their temperatures were the same.

Another real-world example would be stepping on carpet after taking a shower; it feels warmer, whereas tiles would feel colder because they conduct heat more quickly.

I hope this is helpful.

Metal feels colder than wood at room temperature because metal conducts heat more effectively than wood. When you touch metal, it draws heat away from your skin faster than wood does, making it feel colder.