L.4

닮음비와 둘레·넓이·부피

닮음비가 k이면 둘레는 k배, 넓이는 k²배, 부피는 k³배

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Daniel Math Academy · Grade 8 Math

Scale Factor: Perimeter, Area & Volume

Skill L.4 · Congruence & similarity · ★★☆ Medium

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Answer each question.

Example

Think: A triangle with area 12 dilated by 3: lengths are multiplied by 3, areas by , and volumes by .

  1. 1
    A cone has a volume of cm³. It is dilated by a scale factor of . What is the new volume?
  2. 2
    Two similar cylinders have volumes of ft³ and ft³. What is the scale factor from the smaller to the larger?
  3. 3
    A triangle has a area of m². It is dilated by a scale factor of . What is the new area?
  4. 4
    Two similar cones have volumes of ft³ and ft³. What is the scale factor from the smaller to the larger?
Daniel Math Academy · danielmath.comWorksheet #vi3hb69 · Page 1 / 2
Daniel Math Academy · Grade 8 Math

Answer Key

L.4 Scale Factor: Perimeter, Area & Volume · ★★☆ Medium

  1. 1 cm³
  2. 2
  3. 3 m²
  4. 4
Daniel Math Academy · danielmath.comWorksheet #vi3hb69 · Answer Key · Page 2 / 2