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Rectangular Prism and Cube

Mathematics Grade 6 Difficulty 2/5

Beginning of the lesson

📦 Rectangular Prism and Cube

Exploring 3D Shapes: From Boxes to Perfect Cubes

1. What is a Rectangular Prism?

A rectangular prism (прямоугольный параллелепипед) is a 3D shape with:

  • Six rectangular faces (flat surfaces)
  • All angles are right angles (90°)
  • Opposite faces are equal rectangles
  • Also called cuboid or rectangular parallelepiped
Think of it as: A box shape - like a shoebox, a brick, or a book!
Interactive visualization — available in the full lesson

Interactive 3D Rectangular Prism - Drag to rotate!

2. Elements of a Rectangular Prism

Faces (Грани)

6

Flat rectangular surfaces

Rectangles

Edges (Рёбра)

12

Line segments where faces meet

Line Segments

Vertices (Вершины)

8

Corner points

Points
Interactive visualization — available in the full lesson

Blue = Faces Orange = Edges Red = Vertices

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 104
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers