Area & Volume of Similar Shapes Quiz
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5 questions, one answer each
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1. Two similar shapes have a linear scale factor of 3. What is the area scale factor?
- A. 3
- B. 6
- C. 9
- D. 27
2. Two similar solids have a linear scale factor of 5. What is the volume scale factor?
- A. 15
- B. 25
- C. 50
- D. 125
3. A small similar shape has area 8 cm(^2). The linear scale factor to the larger shape is 4. What is the larger shape's area?
- A. 32 cm(^2)
- B. 64 cm(^2)
- C. 128 cm(^2)
- D. 12 cm(^2)
4. Two similar cylinders have volumes 32 cm(^3) and 108 cm(^3). What is the linear scale factor from the smaller to the larger cylinder?
- A. 1.5
- B. 2
- C. 2.25
- D. 3.375
5. Two similar containers have surface areas in the ratio 9:25. What is the ratio of their volumes?
- A. 3:5
- B. 9:25
- C. 27:125
- D. 81:625