Chapter 7 of 8
Concept Maps
Mensuration — Concept Maps
Tamil Nadu Board · Class 10 · Mathematics
3 concept maps of Mensuration for Tamil Nadu Board Class 10 Mathematics, each also written out as a text outline.
44 questions40 flashcards5 concepts
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3 Concept Maps
Mensuration Concepts Hierarchy
The map in words
- Mensuration
- 3D Solids
- Cylinder
- Formula CSA
- Formula TSA
- Formula Volume
- Cone
- Slant Height
- Formula CSA
- Formula Volume
- Sphere
- Great Circle
- Formula Surface
- Formula Volume
- Hemisphere
- Curved Surface
- Flat Base
- Formula TSA
- Cylinder
- Advanced Shapes
- Hollow Solids
- Hollow Cylinder
- Hollow Sphere
- Frustum
- Two Bases
- Curved Surface
- Combined Solids
- Visible Surfaces
- Volume Addition
- Hollow Solids
- Applications
- Conversions
- Volume Conservation
- Real World
- Containers
- Structures
- Manufacturing
- Conversions
- 3D Solids
Mensuration Chapter Overview
The map in words
- Mensuration
- Surface Area
- Cylinder
- Curved Surface Area 2πrh
- Total Surface Area 2πr(h+r)
- Cone
- Slant Height √(h²+r²)
- Curved Surface Area πrl
- Total Surface Area πr(l+r)
- Sphere
- Surface Area 4πr²
- Hemisphere
- Curved Surface 2πr²
- Total Surface 3πr²
- Frustum
- Curved Surface π(R+r)l
- Total Surface π(R+r)l+πR²+πr²
- Cylinder
- Volume
- Cylinder
- Volume πr²h
- Cone
- Volume (1/3)πr²h
- Sphere
- Volume (4/3)πr³
- Hemisphere
- Volume (2/3)πr³
- Frustum
- πh/3)(R²+Rr+r²
- Cylinder
- Combined Solids
- Cylinder + Hemisphere
- Cone + Cylinder
- Frustum + Cylinder
- Conversions
- Volume Conservation
- Melting and Recasting
- Surface Area
Mensuration – Complete Formula Overview
The map in words
- root((Mensuration
- 3D Solids))
- Cylinder
- CSA equals 2 pi r h
- TSA equals 2 pi r open h plus r close
- Volume equals pi r squared h
- Hollow Cylinder
- Volume equals pi open R squared minus r squared close h
- Cone
- Slant height l equals root h squared plus r squared
- CSA equals pi r l
- TSA equals pi r open l plus r close
- Volume equals one third pi r squared h
- Sphere
- Surface Area equals 4 pi r squared
- Volume equals four thirds pi r cubed
- Hollow Sphere
- Volume equals four thirds pi open R cubed minus r cubed close
- Hemisphere
- CSA equals 2 pi r squared
- TSA equals 3 pi r squared
- Volume equals two thirds pi r cubed
- Hollow Hemisphere
- TSA equals pi open 3R squared plus r squared close
- Frustum
- Slant l equals root h squared plus R minus r squared
- CSA equals pi open R plus r close l
- TSA equals pi open R plus r close l plus pi R squared plus pi r squared
- Volume equals pi h by 3 times R squared plus Rr plus r squared
- Combined Solids
- TSA add visible surfaces only
- Volume add all individual volumes
- Conversion
- Volume before equals Volume after
- n times small volume equals large volume
- Cylinder
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Explore DiagramsFrequently Asked Questions
What are the important topics in Mensuration for Tamil Nadu Board Class 10 Mathematics?
Key topics in Mensuration include 1 Introduction to Mensuration, 2 Right Circular Cylinder, 3 Right Circular Cone, 4 Sphere and Hemisphere. Study these first, then practise questions on each for the Tamil Nadu Board Class 10 board exam.
What do the concept maps for Mensuration show?
The 3 maps show how the ideas in Mensuration connect: Mensuration Concepts Hierarchy; Mensuration Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Mensuration for the Tamil Nadu Board Class 10 board exam?
Learn the core ideas first, then work through the 44 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
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