Surface Areas and Volumes
Madhya Pradesh Board · Class 10 · Mathematics
Quick revision notes for Surface Areas and Volumes — Madhya Pradesh Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Surface Area of Combination of Solids
- When two solids are joined, some surfaces become internal and are not counted in total surface area
- Total Surface Area = Sum of curved surface areas of all visible parts
- Common combinations: Cylinder with hemispheres, Cone with hemisphere, Cuboid with hemisphere
Volume of Combination of Solids
- Volume of combination = Sum of volumes of individual solids
- Unlike surface area, no part of volume is lost when joining solids
- Use standard volume formulas for each component
Problem Solving Strategies
- Step 1: Identify the basic solids in the combination
- Step 2: Determine what is required (surface area or volume)
- Step 3: For surface area, identify visible surfaces only
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