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Chapter 20 of 25
Syllabus

Recognition of Solids — Syllabus

ICSE · Class 7 · Mathematics

What Recognition of Solids covers in ICSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 7 Mathematics syllabus.

54 questions26 flashcards8 formulas & key relations5 concepts

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4 Topics · ICSE Class 7 Mathematics · 2026-27

Topics in Recognition of Solids

1

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

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

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

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.

Key Concepts

Central concept: Recognition of solids and their 2D representations

SolidOne-dimensional and two-dimensional figuresCubeCuboidCylinderConePolyhedronNon-polyhedron

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Frequently Asked Questions

What are the important topics in Recognition of Solids for ICSE Class 7 Mathematics?
Key topics in Recognition of Solids include Identifying 2D and 3D Figures, Cube, Cuboid, Cylinder, and Cone, Faces, Edges, and Vertices, Euler's Formula. Study these first, then practise questions on each for Class 7 exams.
How should I revise Recognition of Solids for Class 7 exams?
Learn the core ideas first, then work through the 54 practice questions on Recognition of Solids. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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