Mathematics & Its Pedagogy
Solids Around Us (3-D Shapes)
Mathematics & Pedagogy
Paper I
4 topics
What this chapter covers
The 4 topics below make up Solids Around Us (3-D Shapes) in the CTET syllabus. Open any topic for notes, solved examples and a practice MCQ test.
1Identification of Solids
2Properties of Solids
3Real-Life Examples
4Sorting and Classification
Study material & tests
📚 Study this chapter
Concept notes, key points, solved examples and hint-guided practice for every topic.
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🎯 Topic MCQ tests
8 auto-graded CTET-style questions per topic, with full explanations.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with solutions.
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Key Concepts — Quick Reference
This chapter
The five solids at a glance
| Cube | 6 square faces, 12 edges, 8 vertices, all faces flat |
|---|---|
| Cuboid | 6 rectangular faces, 12 edges, 8 vertices, all faces flat |
| Cylinder | 2 flat circular faces + 1 curved face, 2 edges, 0 vertices |
| Cone | 1 flat circular face + 1 curved face, 1 edge, 1 vertex (apex) |
| Sphere | 1 curved surface only, 0 edges, 0 vertices |
Faces, edges and vertices (the building blocks)
| Face | A flat or curved surface that bounds the solid |
|---|---|
| Edge | The line where two faces meet (can be straight or circular) |
| Vertex (corner) | A point where edges meet; a cone has one, a cube has eight |
| 2-D vs 3-D | 2-D shapes are flat (square, circle); solids have length, breadth AND height |