Prism and Pyramid (Призма и Пирамида)
Understanding 3D shapes with polygon bases
1. What is a Prism? (Что такое призма?)
Definition:
A prism is a 3D shape (three-dimensional figure) that has:
- Two identical parallel bases — the bases are congruent polygons
- Lateral faces — parallelograms (rectangles in a right prism)
- Lateral edges — connect corresponding vertices of the bases
Key Properties:
- Bases are always parallel to each other
- Bases have the same shape and size
- The shape is named by its base polygon
Interactive visualization — available in the full lesson
Interactive: Drag to rotate the triangular prism
2. Types of Prisms by Base (Виды призм по основанию)
Triangular Prism
Треугольная призма
- Base: Triangle (3 sides)
- Total faces: 5
- 2 triangular bases + 3 rectangular faces
Quadrangular Prism
Четырёхугольная призма
- Base: Quadrilateral (4 sides)
- Total faces: 6
- 2 quadrilateral bases + 4 rectangular faces
Pentagonal Prism
Пятиугольная призма
- Base: Pentagon (5 sides)
- Total faces: 7
- 2 pentagonal bases + 5 rectangular faces
Interactive visualization — available in the full lesson
Three types of prisms: Triangular (blue), Quadrangular (orange), Pentagonal (red)