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SSC MTS 2019 · PYQ · Mensuration · medium

If the volumes of two cubes are in the ratio of 64:125, then what is the ratio of their total surface areas?

Answer

The correct answer is A: 16 : 25. Volume ratio = a³/b³ = 64/125, so a/b = 4/5. Ratio of surface areas = a²:b² = 16:25.

  1. A.16 : 25✓ Correct
  2. B.4 : 5
  3. C.9 : 16
  4. D.64 : 125

Explanation

Volume ratio = a³/b³ = 64/125, so a/b = 4/5. Ratio of surface areas = a²:b² = 16:25.
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