"The Case of the Laughing Sphinx", written by Andy Helfer, and illustrated by Ross Andru, Jim Aparo, and Joe Orlando. It's a hardback, heavily illustrated book that originally came with a cassette tape, presumably with a reading/dramatization of the story (several familiar names from DC are listed in the voice credits).
Chris hadn't remembered Ross Andru's contribution, which was obviously the layouts. I've got a lot of love for Ross, but I've never liked the layouts he produced for other artists. Aparo pencilled from his layouts for many covers, including Detective Comics in its "Dollar Comic" era. I can spot Andru's hand most easily by looking at the legs: Ross seems to have believed that a dynamic cover required knees bent at rather extreme angles. Batman's bended knee here is not too bad, but some of the squats that Aparo had to draw on those 'TEC covers were pretty awful looking.
How about the interiors? Here's a sample for you all: