Recognition of Solids — Revision Notes
ICSE · Class 7 · Mathematics
Recognition of Solids revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.
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Key Topics to Revise
1. Identifying 2D and 3D Figures
- A straight line has only one dimension: length.
- A rectangle has two dimensions: length and breadth.
- All rectilinear figures such as square, parallelogram, and trapezium are two-dimensional figures.
2. Cube, Cuboid, Cylinder, and Cone
- A cube is a symmetrical three-dimensional shape, solid or hollow, contained by six equal squares.
- A cube is a cuboid with all sides equal, i.e. length = breadth = height.
- Each face of a cube is a square and all six faces are congruent.
3. Faces, Edges, and Vertices
- A cuboid has six rectangular faces, twelve edges, and eight vertices.
- A cube has six faces, twelve edges, and eight corners, same as a cuboid.
- Cube has V=8, E=12, F=6.
4. Euler's Formula
- Euler's formula is V + F - E = 2 for a polyhedron.
- V means number of vertices.
- E means number of edges.
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