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Chapter 21 of 26
Concept Maps

Surface Areas And Volumes Of Solid Figures — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Surface Areas And Volumes Of Solid Figures for NIOS Class 10 Maths, each also written out as a text outline.

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 Concept Maps

Surface Areas and Volumes - Complete Overview

Surface Areas and Volumes - Complete Overview

The map in words

  • Solid Figures
    • Cuboid
      • Surface Area
        • Formula 2(lb+bh+hl)
        • Applications Painting Walls
      • Volume
        • Formula lbh
        • Applications Storage Capacity
      • Diagonal
        • Formula sqrt(l²+b²+h²)
    • Cube
      • Surface Area 6a²
      • Volume a³
      • Diagonal a√3
    • Cylinder
      • Curved Surface 2πrh
      • Total Surface 2πr(r+h)
      • Volume πr²h
    • Cone
      • Slant Height √(r²+h²)
      • Curved Surface πrl
      • Volume (1/3)πr²h
    • Sphere
      • Surface Area 4πr²
      • Volume (4/3)πr³
    • Hemisphere
      • Curved Surface 2πr²
      • Total Surface 3πr²
      • Volume (2/3)πr³

Surface Areas and Volumes Overview

Surface Areas and Volumes Overview

The map in words

  • Surface Areas & Volumes
    • Cuboid
      • Surface Area
        • lb+bh+hl
      • Volume
        • lbh
      • Diagonal
        • l²+b²+h²
    • Cube
      • Surface Area
        • 6a²
      • Volume
        • a³
      • Diagonal
        • a√3
    • Cylinder
      • CSA
        • 2πrh
      • TSA
        • 2πr(r+h)
      • Volume
        • πr²h
    • Cone
      • CSA
        • πrl
      • TSA
        • πr(l+r)
      • Volume
        • (1/3)πr²h
      • Slant Height
        • r²+h²
    • Sphere
      • Surface Area
        • 4πr²
      • Volume
        • (4/3)πr³
    • Hemisphere
      • CSA
        • 2πr²
      • TSA
        • 3πr²
      • Volume
        • (2/3)πr³

Surface Areas and Volumes - Formula Overview

Surface Areas and Volumes - Formula Overview

The map in words

  • Surface Areas and Volumes
    • Cuboid
      • Surface Area
        • lb + bh + hl
      • Volume
        • lbh
      • Diagonal
        • l² + b² + h²
    • Cube
      • Surface Area
        • 6a²
      • Volume
        • a³
      • Diagonal
        • a√3
    • Cylinder
      • CSA
        • 2πrh
      • TSA
        • 2πr(r + h)
      • Volume
        • πr²h
    • Cone
      • CSA
        • πrl
      • TSA
        • πr(l + r)
      • Volume
        • 1/3 πr²h
      • Slant Height
        • r² + h²
    • Sphere
      • Surface Area
        • 4πr²
      • Volume
        • 4/3 πr³
    • Hemisphere
      • CSA
        • 2πr²
      • TSA
        • 3πr²
      • Volume
        • 2/3 πr³

Surface area and volume of solid figures

Surface area and volume of solid figures

The map in words

  • Surface area and volume of solid figures
    • Solid figures or three-dimensional objects
    • Surface area
    • Volume
    • Cuboid
    • Cube
    • Right circular cylinder
    • Right circular cone
    • Sphere

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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.
What do the concept maps for Surface Areas And Volumes Of Solid Figures show?
The 4 maps show how the ideas in Surface Areas And Volumes Of Solid Figures connect: Surface Areas and Volumes - Complete Overview; Surface Areas and Volumes Overview. Each map is also written out as an outline on this page.
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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