A spider situated at the top left corner of the a cuboidal room of dimensions 15 feet by 12 feet by 10 feet spots a dead cockroach at the corner farthest to it. Find the minimum distance( in feet ) the spider needs to cover to reach the cockroach if it crawls along the walls, ceiling or floor of the room.

1) sq root(769)
2) sq root(709)
3) sq root(829)
4) 10+sq root(369)