Rice went 2-for-4 with a three-run home run in Friday's 5-0 win over the Reds.
The 27-year-old slugger took Rhett Lowder deep in the second inning to give the Yankees a 4-0 lead. Rice has hit safely in six straight games, launching three homers during that span, and the hot streak has boosted his slash line on the season to .294/.389/.616 with 21 long balls, 52 RBI, 54 runs and two steals in 69 contests.