Answer
The volume of a coin is approximately one cubic centimeter.
Work Step by Step
We could melt the coin and form a cube.
A cube with a volume of 1 cubic millimeter would have sides of 1 millimeter. Clearly this is too small for the volume of a coin.
A cube with a volume of 1 cubic decimeter would have sides of 1 decimeter. Clearly this is too large for the volume of a coin.
A cube with a volume of 1 cubic centimeter would have sides of 1 centimeter. This seems like a reasonable estimate for the volume of a coin.
The volume of a coin is approximately one cubic centimeter.