from math import sqrt def volume(x): return x * (36 - 2 * x) * (24 - 2 * x) lo, hi = 0.0, 12.0 ratio = (sqrt(5) - 1) / 2 for _ in range(100): a = hi - ratio * (hi - lo) b = lo + ratio * (hi - lo) if volume(a) < volume(b): lo = a else: hi = b x = (lo + hi) / 2 result = {"cut_cm": round(x, 6), "volume_cm3": round(volume(x), 6)} import json print(json.dumps(result, ensure_ascii=False, sort_keys=True))