1. What is the height of the cuboid, if the cube of diagonal 44√3cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 22cm? (in cm)
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By: anil on 05 May 2019 01.12 am
Let side of cube be $$a$$ cm => Diagonal = $$sqrt{a^2+a^2+a^2}=44sqrt3$$ => $$sqrt3a=44sqrt3$$ => $$a=44$$ cm Let height of cuboid = $$h$$ cm, length, $$l=44$$ cm and breadth, $$b=22$$ cm According to ques, Volume of cuboid = Volume of cube => $$lbh=a^3$$ => $$44 imes22 imes h=(44)^3$$ => $$h=frac{44 imes44}{22}=88$$ cm => Ans - (C)
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