The World Wide Web Consortium (WC3, the kingpin of interoperability, the grand poo-bah of Web standardization) defines the Web as "the universe of network-accessible information, an embodiment of human knowledge." Yeah, ok, whatever.
Actually, the Internet is the skeleton, the structure, the backbone, the network of computer networks. The Web is actually only one protocol of the Internet. It is the collection of information including documents, articles, opinions, stories, art, sounds and animations stored on Web servers.
The cool thing is that information on the Web is just as likely to be located on a computer next door or across the country as it is on a computer on the other side of the planet.