The diagonal of a cubical block of wood is 192 cm. Find its volume. 

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SSC Selection Post 2024 (Matriculation Level) Official Paper (Held On: 24 Jun, 2024 Shift 1)
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  1. 786432√3 cm3
  2. 766432√3 cm3
  3. 776432√3 cm3
  4. 796432√3 cm3

Answer (Detailed Solution Below)

Option 1 : 786432√3 cm3
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SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
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Detailed Solution

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Given:

Diagonal (d) = 192 cm

Formula used:

d = a√3

Where, a = side of the cube

Volume (V) = a3

Calculations:

192 = a√3

⇒ a =

⇒ Volume =

⇒ Volume =

⇒ Volume =

⇒ Volume = 

∴ The volume of the cubical block is cm3.

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