Two similar solids have corresponding lengths in the ratio . The smaller solid has volume cm. Find the volume of the larger solid in cm.

Answer and explanation

Correct answer: D. 54

  1. Step 1: The ratio of volumes is the cube of the ratio of lengths: .
  2. Step 2: Larger volume .
Answer
54.
Why not the others: 36: it uses the square of the ratio for the volume. 24: it uses the length ratio for the volume. 17: it adds the difference of the lengths.

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