Mensuration
Telangana Board · Class 10 · Mathematics
Quick revision notes for Mensuration — Telangana Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
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. 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. 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. 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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