Civil Service Exam Reviewer · Measurement and Geometry · hard

A solid metal cube with 20-cm edges is dropped into a rectangular aquarium 59 cm long and 25 cm wide, fully submerging it. By how much does the water level rise?

  1. 5.42 cm
  2. 95.24 cm
  3. 0.271 cm
  4. 10.85 cm

Answer

A. 5.42 cm

Solution

Displaced volume = 20³ = 8000 cm³. Rise = 8000 ÷ (59 × 25) = 5.42 cm.

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