DEFINITION OF ADJACENT FACES
djacent Faces are the two faces that share a common edge.
Examples of Adjacent Faces
Faces ABCD and DCEF are adjacent.
Faces ABCD and HGEF are not adjacent as they do not share a common edge.
Video Examples: Adjacent Faces
Solved Example on Adjacent Faces
Ques:
Which of the following is a pair of adjacent faces in the figure shown?
Choices:
A. ABCD and BCEH
B. ABCD and EFGH
C. DCEF and ABHG
D. AGFD and BCEH
Correct Answer: A
Solution:
Step 1: Adjacent faces share a common edge between each other.
Step 2: So, in the given figure, ABCD and BCEH are the adjacent faces as they share a common edge (BC) between each other.
Quick Summary
- Adjacent faces share an edge.
- Not all faces of a polyhedron are adjacent to each other.
🍎 Teacher Insights
Use physical models or interactive 3D software to help students visualize adjacent faces. Emphasize the importance of the shared edge.🎓 Prerequisites
- Basic understanding of 3D shapes
- Knowledge of edges and faces of polyhedra
Check Your Knowledge
Q1: Which of the following is a pair of adjacent faces in the figure shown (ABCD and BCEH, ABCD and EFGH, DCEF and ABHG, AGFD and BCEH)? Assuming ABCD and BCEH share the edge BC.
Frequently Asked Questions
Q: How do you identify adjacent faces?
A: Look for faces that share a common edge. If they share an edge, they are adjacent.
Q: Can a face have more than one adjacent face?
A: Yes, a face can have multiple adjacent faces, as it can share an edge with several other faces.