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CDS 2024 · PYQ · Mensuration · easy

A cube whose edge is 14 cm long has on each of its faces a circle of 7 cm radius painted yellow. What is the total area of unpainted surface? (Take π = 22/7)

Answer

The correct answer is C: 252 square cm. Total surface area of cube = 6 × 14² = 1176 sq cm. Painted area = 6 circles × π × 7² = 6 × (22/7) × 49 = 924 sq cm.

  1. A.126 square cm
  2. B.189 square cm
  3. C.252 square cm✓ Correct
  4. D.315 square cm

Explanation

Total surface area of cube = 6 × 14² = 1176 sq cm. Painted area = 6 circles × π × 7² = 6 × (22/7) × 49 = 924 sq cm. Unpainted area = 1176 - 924 = 252 sq cm.
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