Civil Service Exam Reviewer · Ratio and Proportion · hard

Two similar boxes have corresponding sides in the ratio 5 : 7. What is the ratio of their volumes?

  1. 5 : 7
  2. 25 : 49
  3. 10 : 14
  4. 125 : 343

Answer

D. 125 : 343

Solution

For similar figures, volumes scale as the cube of the side ratio: 125 : 343.

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