**Core Concept**
The anatomical snuffbox is a triangular deepening on the radial, dorsal aspect of the hand, bounded by the tendons of the extensor pollicis longus and extensor pollicis brevis muscles. It is an important landmark for palpating the radial artery and assessing wrist injuries.

**Why the Correct Answer is Right**
The correct answer is related to the contents of the anatomical snuffbox, which are primarily the radial artery, the tendons of the thumb extensors, and the styloid process of the radius. The radial artery runs through the snuffbox and is often used as a landmark for radial artery cannulation. The tendons of the extensor pollicis longus and brevis are also present in the snuffbox, which helps to define its borders.

**Why Each Wrong Option is Incorrect**
**Option A:** The median nerve is not contained within the anatomical snuffbox, as it is located more medially and is not a part of the radial or dorsal aspect of the hand.
**Option B:** The ulnar artery is not present in the anatomical snuffbox, as it is located more medially and is not a part of the radial or dorsal aspect of the hand.
**Option C:** The carpal tunnel is not contained within the anatomical snuffbox, as it is located more medially and is a separate anatomical structure.

**Clinical Pearl / High-Yield Fact**
It is essential to remember that the anatomical snuffbox is a critical landmark for assessing wrist injuries, particularly those involving the radial artery or the tendons of the thumb extensors. A thorough understanding of the contents of the snuffbox is crucial for accurate diagnosis and treatment of wrist injuries.

**Correct Answer:** D. Radial artery, tendons of the thumb extensors, and the styloid process of the radius.