Mac OS X 10.4 Tiger features Spotlight, which you can use to quickly find information on your computer.
If you want to search a disk image's contents with Spotlight, just remember this tip: The image needs to be mounted. If it's not mounted, Spotlight can tell you where the image itself is located, but not what's on it. Double-click the image file to mount it and make it available to the system.
To search an archive with Spotlight, such as a .zip file you created in the Finder or other file compression utility, open (uncompress, expand) the file first.