Preheat broiler. Brush steak with soy sauce. Place on rack of unheated broiler pan. Broil 4 to 5 inches from heat for 15 to 18 minutes or to desired doneness (160 degrees F for medium), turning once halfway through broiling. Thinly slice beef across the grain.
Meanwhile, cook noodles according to package directions; drain in colander. Rinse with cold water.
Slice cucumber crosswise in three sections. Using a vegetable peeler, cut lengthwise ribbons from sections.
Combine chili sauce and water. Divide steak, noodles, cucumber, and carrots among bowls. Drizzle with chili sauce mixture, sprinkle cilantro. Makes 4 servings.