Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1.  m
  2.  m
  3.  m
  4.  m

Answer (Detailed Solution Below)

Option 4 :  m
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Detailed Solution

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Given:

Area of the floor of a cubical room is 64 m2.

Formula used:

Area of a floor = a2

The diagonal of a floor = a√3

Calculation:

a2 = 64

⇒ a = 8 m

The length of the longest rod = Diagonal of the cubical room = a√3

The length of the longest rod = 8 × √3 

⇒ 8√3 m.

∴ The correct answer is  m.

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