Cubes — Revision Notes
SNAP · Data Interpretation & Logical Reasoning
Quick revision notes for Cubes — key concepts, formulas, and definitions for SNAP Data Interpretation & Logical Reasoning preparation.
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Key concepts, formulas, and definitions from Cubes for SNAP Data Interpretation & Logical Reasoning preparation.
Key Topics to Revise
Basic Properties of Cubes
- A cube is a three-dimensional structure with 6 faces, 8 corners (vertices), and 12 edges
- All faces of a cube are squares that meet each other at right angles
- Each vertex is formed by the intersection of three edges
Cutting Cubes
- One cut divides the cube into 2 parts
- n cuts along one axis create (n+1) pieces along that axis
- For minimum cuts, distribute cuts equally among all three axes
Painting and Cutting Problems
- When an n×n×n cube is painted and cut into unit cubes, different types of cubes are formed
- Corner cubes have 3 faces painted (always 8 cubes)
- Edge cubes have 2 faces painted
Cube Rotation and Views
- A cube can be rotated to show different faces
- Opposite faces never appear together in any single view
- Adjacent faces can appear together when viewing corners
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