Question
The surface areas of three faces of a cuboid sharing a
vertex are given as 25 m², 32 m² and 32 m². What is the volume of the cuboid?Solution
We have, ⇒ Length × Breadth = 25 m2 ⇒ Breadth × Height = 32 m2 ⇒ Height × Length = 32 m2 Multiplying the above three equations, we get, ⇒ (Length × Breadth × Height)2 = 25 × 32 × 32 Taking square root on both sides, ⇒ (Length × breadth × Height) = 5 × 32 ⇒ Length × breadth × Height = 160 ⇒ Volume of cuboid = 160 m3 ∴ The volume of cuboid is 160 m3
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