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Two cubical castings are made of the same material. Side of small casting is 2 cm while that of bigger one is 4 cm. If small casting solidifies in 2 minutes, what will be the solidification time for bigger casting?
[Use Chvorinove's rule]

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  1. 32 minutes
  2. 4 minutes
  3. 16 minutes
  4. 8 minutes

Answer (Detailed Solution Below)

Option 4 : 8 minutes
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Detailed Solution

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Concept:

Chvorinov's Rule relates solidification time of a casting to its volume and surface area as:

Given:

Small cube side = 2 cm, Large cube side = 4 cm

Time for small cube to solidify = 2 minutes

Calculation:

Volume of cube = L3 , Surface area = 6L2

So,

Now,

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