Open the health and magic chests to the left then head to the right to find a red chest. The next sequence is pretty much straightforward since you need to swing and climb various parts of the statue.
After landing on a platform and climbing a ladder, turn to the right first to find two red chests. Continue to the left until you reach another platform where you need to take out more enemies. After clearing the area, look to the left to find a raised ledge with two red chests and two white chests.
After looting the chests, head inside and push the gear until it stops. Open the health/magic chest then proceed. Push the second gear and exit to the next area.