For physical volume:
* Capacity: The amount a container can hold.
* Size: The extent of something in three dimensions.
* Bulk: The largeness of something.
* Dimensions: The measurements of length, width, and height.
For sound volume:
* Loudness: The intensity of a sound.
* Amplitude: The magnitude of a sound wave.
* Intensity: The power of a sound wave per unit area.
For book volume:
* Book: A bound collection of printed pages.
* Tome: A large, heavy book.
* Edition: A particular version of a book.
For general volume:
* Quantity: The amount of something.
* Amount: The total number or quantity.
* Magnitude: The size or extent of something.
The best synonym for "volume" will depend on the specific context in which it is being used.