296 passing yards.
For team passing yards, yes ... for individual passing yards, no. A team's total passing yards is the total of individual passing yards minus yards lost from sacks. Sacks are not considered when calculating individual passing yards.
Bob Griese of the Miami Dolphins. The Dolphins lost Super Bowl VI and Griese had 134 passing yards. The Dolphins won Super Bowl VII with Griese passing for 88 yards and Super Bowl VIII when Griese had 73 passing yards. It should be noted that Griese threw only 11 passes (completing 8) in Super Bowl VII and only 7 passes (completing 6) in Super Bowl VIII. The Dolphins rushed for 184 yards in SB VII and 196 yards in SB VIII.
288 Passing yards QB - Drew Brees
Kurt Warner owns the record for most passing yards in a single Super Bowl game (414 yards vs. Tennessee Titans in Super Bowl XXXIV, which made him the only QB to pass for 400+ yards in the Super Bowl)
Brett Favre had 71,838 total passing yards and 1,844 total rushing yards for his career.
Aaron Rodgers had 304 passing yards to Ben Roethlisberger's 263.
Joey Harrington of the Detroit Lions averaged 488 yards a game in passing receivers.