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Chapter 12 of 14
Syllabus

Surface Areas and Volumes — Syllabus

Gujarat Board · Class 10 · Mathematics

What Surface Areas and Volumes covers in Gujarat Board Class 10 Mathematics: 4 topics, for the 2026-27 session.

44 questions20 flashcards4 concepts

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4 Topics · Gujarat Board Class 10 Mathematics · 2026-27

Topics in Surface Areas and Volumes

1

Basic Solids and Their Properties

  • Four basic solids: Cuboid, Cylinder, Cone, and Sphere/Hemisphere
  • Each solid has specific formulas for surface area and volume
  • Real-life objects are often combinations of these basic solids
2

Surface Area of Combined Solids

  • When solids are combined, some surfaces get hidden and should not be counted
  • Total surface area = Sum of visible curved surface areas
  • Flat surfaces that join two solids are not visible and hence not counted
3

Volume of Combined Solids

  • Volume of combined solid = Sum of volumes of individual components
  • Unlike surface area, no volume is lost when solids are joined
  • Each component retains its complete volume in the combination
4

Real-life Applications and Problem Solving

  • Combined solids appear in architecture, engineering, and everyday objects
  • Surface area calculations help in painting, covering, and material estimation
  • Volume calculations help in determining capacity, storage, and material requirements

Key Concepts

RealWhen calculating surface area of combinedUnlike surface areaBreak down complex solids into recognizable

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Frequently Asked Questions

What are the important topics in Surface Areas and Volumes for Gujarat Board Class 10 Mathematics?
Key topics in Surface Areas and Volumes include Basic Solids and Their Properties, Surface Area of Combined Solids, Volume of Combined Solids, Real-life Applications and Problem Solving. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
How should I revise Surface Areas and Volumes for the Gujarat Board Class 10 board exam?
Learn the core ideas first, then work through the 44 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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