When the strings of a violin vibrate it produces sound which is sound energy. Due to the vibration of the strings the air present near the strings also vibrate in resonance with the strings. This compreesion and decompression's produced in the air is nothing but the sound. So the form of energy given off by the vibrating strings of the violin is Sound energy.
You must times the area by the volume, look at it as if the area is just one of 23 layers that makes up the volume. 1960x23=45080 so no it cannot be carried as it is 5080cm^3 over the limit