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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?

A 160 m^3 Correct Answer Incorrect Answer
B 92 m^3 Correct Answer Incorrect Answer
C 184 m^3 Correct Answer Incorrect Answer
D √3024 m^3 Correct Answer Incorrect Answer

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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