POLYGON POLYHED
Definition Of Polygon
A polyhedron is a space figure each of whose faces is a polygon.
In other words, a polyhedron is a solid shape whose faces are all polygons.
More About Polygon
A regular polyhedron is a polyhedron in which all faces are regular polygons of the same shape and size.
Video Examples: Polyhedra
Example of Polygon
Cubes, prisms, and pyramids are polyhedra.
Solved Example on Polygon
Ques: Name the polyhedron that has 4 faces, 6 edges, and 4 vertices.
Choices:
A. hexahedron
B. cone
C.tetrahedron
D. octahedron
Correct Answer: C
Solution:
Step 1: A tetrahedron or a triangular pyramid is a pyramid with a triangular base.
Step 2: The net of a tetrahedron that can be folded and joined to form a tetrahedron is as shown.
Step 3: The points 2, 3, and 4 forms the base, and the sides join at point 1 to form a pyramid.
Step 4: There are 4 faces, 6 edges, and 4 vertices in a tetrahedron.
Step 5: So, tetrahedron is a polyhedron that has 4 faces, 6 edges, and 4 vertices.
Quick Summary
- Polyhedra are 3D shapes with flat faces.
- Faces of a polyhedron are polygons.
- Examples include cubes, prisms, and pyramids.
🍎 Teacher Insights
Use physical models or interactive software to help students visualize polyhedra. Emphasize the relationship between polygons and polyhedra. Encourage students to build their own polyhedra from nets.🎓 Prerequisites
- Basic understanding of polygons
- Spatial reasoning
- Knowledge of geometric shapes like triangles and squares
Check Your Knowledge
Q1: Which of the following is a polyhedron?
Q2: A tetrahedron has how many faces?
Frequently Asked Questions
Q: What is the difference between a polyhedron and a polygon?
A: A polygon is a two-dimensional shape with straight sides, while a polyhedron is a three-dimensional shape with polygon faces.
Q: What are the parts of a polyhedron?
A: A polyhedron has faces (polygons), edges (where the faces meet), and vertices (corners where edges meet).