The surface area of three faces of a cuboid sharing a vertex are 20 m2, 32 m2 and 40 m2. What is the volume of the cuboid?

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RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)
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  1. 92 m3
  2. √3024 m3
  3. 160 m3
  4. 184 m3

Answer (Detailed Solution Below)

Option 3 : 160 m3
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Detailed Solution

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The surface area of three faces of a cuboid sharing a vertex are 20 m2, 32 m2 and 40 m2,

⇒ L × B = 20 sq. Mt

⇒ B × H = 32 sq. Mt

⇒ L × H = 40 sq. Mt

⇒ L × B × B × H × L × H = 20 × 32 × 40

⇒ L2B2H2 = 25600

⇒ LBH = 160

∴ Volume = LBH = 160 m3

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