Chapter 10 of 15
Syllabus
Surface areas and Volumes — Syllabus
Telangana Board · Class 9 · Mathematics
What Surface areas and Volumes covers in Telangana Board Class 9 Mathematics: 4 topics, for the 2026-27 session.
45 questions20 flashcards5 formulas & key relations5 concepts
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4 Topics · Telangana Board Class 9 Mathematics · 2026-27
Topics in Surface areas and Volumes
1
Cuboids and Cubes
- A cuboid has 6 rectangular faces, 12 edges, and 8 vertices
- A cube is a special cuboid where all edges are equal
- Total surface area includes all 6 faces
2
Right Circular Cylinders
- A cylinder has 2 circular bases and 1 curved surface
- Right circular cylinder has axis perpendicular to base
- Curved surface can be opened into a rectangle
3
Right Circular Cones
- A cone has 1 circular base and 1 curved surface meeting at vertex
- Slant height is distance from vertex to any point on base circumference
- Relationship: l² = h² + r² (Pythagoras theorem)
4
Spheres and Hemispheres
- Sphere is perfectly round 3D object with all points equidistant from center
- Hemisphere is half of a sphere cut by plane through center
- Sphere has only curved surface, no edges or vertices
Key Concepts
For a cuboid with length lFor a cube with edge lengthFor a cylinder with radius rFor a cone with radius rFor a sphere with radius r
Work through every topic in Surface areas and Volumes with notes and quizzes
Start This ChapterFrequently Asked Questions
What are the important topics in Surface areas and Volumes for Telangana Board Class 9 Mathematics?
Key topics in Surface areas and Volumes include Cuboids and Cubes, Right Circular Cylinders, Right Circular Cones, Spheres and Hemispheres. Study these first, then practise questions on each for Class 9 exams.
How should I revise Surface areas and Volumes for Class 9 exams?
Learn the core ideas first, then work through the 45 practice questions on Surface areas and Volumes. 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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