ADJACENT FACES
Definition Of Adjacent Faces
Adjacent 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.
- Non-adjacent faces do not share an edge.
🍎 Teacher Insights
Use physical models of polyhedra to help students visualize adjacent faces. Have them identify and trace the shared edges.🎓 Prerequisites
- Faces of polyhedra
- Edges of polyhedra
- Basic spatial reasoning
Check Your Knowledge
Q1: Which of the following pairs of faces are adjacent in the given cube?
Frequently Asked Questions
Q: How can I identify adjacent faces?
A: Look for faces that share a common edge. Trace the edge with your finger to see if it connects the two faces.
Q: Are all faces of a polyhedron adjacent to each other?
A: No, only faces that share a common edge are adjacent.