OCTAHEDRON
Definition Of Octahedron
A regular polyhedron that has 8 congruent faces is called an Octahedron.
More About Odd Function
An octahedron has equilateral triangles as its faces.
An octahedron has 8 faces, 12 edges and 6 vertices.
Example of Octahedron
In the given figure, there are 8 faces and each face is an equilateral triangle
So, the figure is an octahedron.
Video Examples: Octahedron Tutorial
Solved Example on Octahedron
Ques: Which net can form an octahedron?
Choices:
A. Figure 2
B. Figure 1
C. Figure 4
D. Figure 3
Correct Answer: D
Solution:
Step 1: An octahedron is made of eight equilateral triangles.
Step 2: The net formed by unfolding an octahedron is as shown.
Step 3: Thus, figure 3 can form an octahedron.
Quick Summary
- An octahedron has 8 faces, 12 edges, and 6 vertices.
- Each face is an equilateral triangle.
- Octahedrons are a type of Platonic solid.
🍎 Teacher Insights
Use physical models or nets to help students visualize the octahedron. Relate it to other polyhedra for comparison.🎓 Prerequisites
- Triangles
- Basic geometric shapes
- Spatial reasoning
Check Your Knowledge
Q1: How many faces does an octahedron have?
Q2: What shape are the faces of an octahedron?
Frequently Asked Questions
Q: What is a net of an octahedron?
A: A 2D pattern that can be folded to form an octahedron.
Q: Are all octahedrons regular?
A: The definition given is for regular octahedrons. Irregular octahedrons are possible, but less common in introductory lessons.