Question
The weight of a cubic metre metal is 1215 kg. It is
melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one end. Find the weight of the solid cube?Solution
1 m³ = 1215 kg ~ 
Volumes are equal 9 × x × x = 1 x² = 1/9 ⇒ x = 1/3 
[height is also same] Volume = (1/3)³ = 1/27 m³ Weight ⇒ 1/27 × 1215 = 45 kg
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