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Syllabus

Surface Areas And Volumes Of Solid Figures — Syllabus

NIOS · Class 10 · Maths

What Surface Areas And Volumes Of Solid Figures covers in NIOS Class 10 Maths: 4 topics, for the 2026-27 session. Part of the NIOS Class 10 Maths syllabus.

34 questions30 flashcards16 formulas & key relations5 concepts

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An illustration showing common objects and their corresponding 3D geometric shapes (cuboid, cube, cylinder, cone, sphere, hemisphere).
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4 Topics · NIOS Class 10 Maths · 2026-27

Topics in Surface Areas And Volumes Of Solid Figures

1

1. Core Ideas and Units

  • A solid figure is a three-dimensional object.
  • Surface area is measured in square units.
  • Volume is measured in cubic units.
2

2. Cylinder

  • A right circular cylinder is generated by rotating a rectangle about one of its edges.
  • Base radius is r and height is h.
  • It has two circular flat ends and one curved surface.
3

3. Cone

  • A right circular cone is generated by rotating a right triangle about one of its legs.
  • Base radius is r, height is h, and slant height is l.
  • Slant height is found by Pythagoras theorem.
4

4. Sphere and Hemisphere

  • A sphere is formed by points at equal distance from a fixed point called the centre.
  • A hemisphere is half a sphere.
  • Surface area of hemisphere is derived experimentally as twice the area of a circle.

Key Concepts

Central concept: Surface area and volume of solid figures

Solid figures or three-dimensional objectsSurface areaVolumeCuboidCubeRight circular cylinderRight circular coneSphere

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Frequently Asked Questions

What are the important topics in Surface Areas And Volumes Of Solid Figures for NIOS Class 10 Maths?
Key topics in Surface Areas And Volumes Of Solid Figures include Core Ideas and Units, Cylinder, Cone, Sphere and Hemisphere. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How should I revise Surface Areas And Volumes Of Solid Figures for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 34 practice questions on Surface Areas And Volumes Of Solid Figures. 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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