Andy Balbirnie hit eight sixes and eight fours to set up the morale-boosting win that levelled the five match one-day series 1-1.
All-rounder Mohammad Nabi was adjudged the player of the match for his all-round performance.
Rashid returned figures of 9-0-41-5 as the UAE, after electing to bat first, were bowled out for 177.
Skipper Manish Pandey continued his good form as India A outclassed Afghanistan A by 113 runs to record their second victory in the tri-nation one-day series on Tuesday.
Live cricket score and ball-by-ball commentary from the 31st World Cup match between New Zealand vs Afghanistan at the McLean Park, Napier on Sunday.