Final answer:
The term for an irreducible hernia with trapped abdominal contents is a strangulated hernia, which is a serious medical condition that often requires surgery.
Step-by-step explanation:
An irreducible hernia whose abdominal contents have become trapped in the extraabdominal sac is called a strangulated hernia. This is a severe condition that occurs when the herniated tissue is cut off from its blood supply. The lack of blood flow can lead to tissue death and serious complications if not treated promptly, usually requiring surgical intervention.