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Chapter 21 of 26
Syllabus

Surface Areas And Volumes Of Solid Figures

NIOS · Class 10 · Maths

Complete topic list for Surface Areas And Volumes Of Solid Figures in NIOS Class 10 Maths. Key concepts, sub-topics, and what to focus on for board exams.

34 questions30 flashcards5 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

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

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 Surface Areas and Volumes - Complete Overview, Surface Areas and Volumes Overview, Surface Areas and Volumes - Formula Overview. These are the concepts NIOS Class 10 examiners draw on most — study them first, then practise related questions.
How to score full marks in Surface Areas And Volumes Of Solid Figures — NIOS Class 10 Maths?
Understand the core concepts first, then work through the 34 practice questions available for this chapter. Revise formulas and 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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