Edexcel IGCSE Maths 復習筆記 4.18.1 Similarity - Areas & Volumes
Edexcel IGCSE Maths 復習筆記 4.18.1 Similarity - Areas & Volumes
What are similar shapes?
- See Similarity – Lengths and know that:
- Equivalent?areas?are linked by an?area factor?(see below)
- Equivalent?volumes?are linked by a?volume factor?(see below)
Working with similar shapes
- Identify?equivalent?known quantities (Lengths, Areas or Volumes)
- Establish?direction?(getting bigger or smaller?)
- Find?Scale/Area/Volume Factor?= Second Quantity ÷ First Quantity(Check Factor > 1 if getting bigger and Factor < 1 if getting smaller)
- Convert?between Scale/Area/Volume Factors usingArea Factor = (Scale Factor)2?( Scale Factor = √(Area Factor) )Volume Factor = (Scale Factor)3?( Scale Factor = ?(Volume Factor) )
- Use?Scale/Area/Volume Factor?to find new quantity
Worked Example
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