Final answer:
Most cases of non-penetrating foreign objects of the sclera should be managed by irrigating the eye.
Step-by-step explanation:
Most cases of non-penetrating foreign objects of the sclera should be managed by irrigating the eye. This involves using a gentle stream of saline solution to flush out the object. It is important to avoid rubbing the eye or using a cotton swab, as this can cause further injury or push the object deeper into the sclera. Bandaging both eyes or having the patient blink rapidly are not appropriate management strategies for this type of injury.