A

Step 1: Understand the concept of thermal conductivity. Metals have a high thermal conductivity compared to wood, which means they can transfer heat energy more efficiently.

Step 2: When you touch a piece of metal that is at the same temperature as wood, because of its higher thermal conductivity, it draws heat away from your skin more quickly than wood. This creates a sensation of coldness. Conversely, when you touch a hot piece of metal, it transfers heat to your skin much more efficiently than wood does, making it feel hotter.

Step 3: The temperature at which the two materials feel the same would depend on their properties and how they interact thermally with your body. Generally, when both materials are at room temperature (around 20-25°C or 68-77°F), they would feel similar, but the perception of temperature can vary depending on the individual's sensitivity and the specific thermal properties of the materials involved.

Therefore, the metal feels colder when it is colder and feels hotter when it is hot due to its efficiency in transferring heat energy and the sensation created by that transfer.