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Mensuration — Revision Notes

Telangana Board · Class 10 · Mathematics

Mensuration revision notes for Telangana Board Class 10 Mathematics: 4 topics in quick points. Part of the Telangana Board Class 10 Mathematics syllabus.

43 questions22 flashcards17 formulas & key relations5 concepts

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Key Topics to Revise

1

1. Basic Solid Shapes and Their Formulas

  • Cuboid, cube, prism, cylinder, pyramid, cone, sphere, and hemisphere are the main solids studied in this chapter.
  • Each solid has fixed formulas for curved or lateral surface area, total surface area, and volume.
  • For a cuboid, all three dimensions are used: length, breadth, and height.
2

2. Surface Area and Volume of Combination of Solids

  • Many real objects are made by joining two or more basic solids.
  • In a combination of solids, surface area is not found by simply adding the TSAs of the parts.
  • Some faces disappear or overlap where the solids are joined.
3

3. Surface Area Examples and High-Yield Results

  • The slant height of a conical tent with r=7 m and h=10 m is √149 = 12.2 m.
  • The length of canvas used for the tent in Example-1 is 134.2 m for width 2 m.
  • The total surface area of a cylindrical oil drum in Example-2 is 50.28 m^2.
4

4. Volume Examples and Recasting Problems

  • The volume of a combined solid is the sum of the volumes of its parts.
  • Suresh's shed volume is 1128.75 m^3 without machinery and workers.
  • The volume of air in the shed with machinery and workers is 827.15 m^3.

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Full Notes

Key Concepts

A cuboid has length lA cube has sideA regular circular cylinder has radiusA right circular cone has radiusFor a sphere of radius r

Frequently Asked Questions

What are the important topics in Mensuration for Telangana Board Class 10 Mathematics?
Key topics in Mensuration include Basic Solid Shapes and Their Formulas, Surface Area and Volume of Combination of Solids, Surface Area Examples and High-Yield Results, Volume Examples and Recasting Problems. Study these first, then practise questions on each for the Telangana Board Class 10 board exam.
How should I revise Mensuration for the Telangana Board Class 10 board exam?
Learn the core ideas first, then work through the 43 practice questions on Mensuration. 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.

More resources for Mensuration

All Telangana Board Class 10 Mathematics Revision Notes

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