PRISM
Definition Of Prism
A prism is a polyhedron consisting of two parallel, congruent faces called bases.
More About Prism
A prism is named by the shape of its base.
Triangular Prism: A Prism with triangular bases is a Triangular Prism.
Rectangular Prism: A Prism with rectangular bases is a Rectangular Prism.
Cube: A prism with square bases is a cube. All six faces of a cube are squares.
Pentagonal Prism: A Prism with pentagonal bases is a Pentagonal Prism.
Hexagonal Prism: A Prism with hexagonal bases is a Hexagonal Prism.
Octagonal Prism: A Prism with octagonal bases is an Octagonal Prism.
Video Examples: Newton's Prism Experiment
Example of Prism
The following figure shows a few prisms.
Solved Example on Prism
Ques: An octagonal prism has ____.
Choices:
A. one vertex
B. eight congruent faces and one base
C. six congruent lateral faces
D. eight lateral faces that are congruent
Correct Answer: D
Solution:
Step 1: An octagonal prism has eight lateral faces that are congruent and two parallel congruent octagonal bases.
Quick Summary
- A prism has two congruent and parallel bases.
- Prisms are named after the shape of their base (e.g., triangular prism, rectangular prism).
- The lateral faces of a prism are parallelograms.
🍎 Teacher Insights
Use physical models to demonstrate different types of prisms. Emphasize the importance of identifying the base accurately.🎓 Prerequisites
- Basic geometric shapes
- Understanding of polygons
- Area calculations
Check Your Knowledge
Q1: An octagonal prism has ____.
Frequently Asked Questions
Q: What is the difference between a prism and a pyramid?
A: A prism has two parallel and congruent bases, while a pyramid has only one base and a vertex.
Q: How do you name a prism?
A: Prisms are named based on the shape of their bases (e.g., a prism with a pentagonal base is called a pentagonal prism).