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?

Question

Question

This question was previously asked in

RRB ALP Previous Paper 2 (Held On: 9 Aug 2018 Shift 2)

Answer 1

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