The Sum of all edges of a cube is 60 cm, then find the length of the largest rod that can be fit in the cube.

  1. 6√3 cm
  2. 3√3 cm
  3. 4√3 cm
  4. 5√3 cm

Answer (Detailed Solution Below)

Option 4 : 5√3 cm
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Detailed Solution

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Given:

Sum of all 12 edges of cube = 60 cm

Formula:

Number of edges in a cube = 12

Diagonal (body) of cube = √3a

Calculation:

Let the side of the cube be a cm, then

12a = 60

⇒ a = 60/12

⇒ a = 5 cm

∴ Largest rod that can be fit in cube  = √3a = 5√3 cm

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