1Set aside 4 strawberries for garnish if desired. Remove and discard caps from remaining strawberries. Place ice and 2 pints strawberries in blender or food processor. Cover and blend on high speed about 30 seconds, stopping blender occasionally to scrape sides, until almost smooth. Pour into 2-quart pitcher.
2Place remaining 2 pints strawberries, the powdered sugar and lime juice in blender or food processor. Cover and blend on high speed about 30 seconds or until almost smooth. Pour into mixture in pitcher; stir. Pour into glasses. Garnish with whole strawberries. Serve immediately.