1. What is the height of the cuboid, if the cube of diagonal 47√3cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 23.5cm? (in cm)
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By: anil on 05 May 2019 01.12 am
Let side of cube be $$a$$ cm => Diagonal = $$sqrt{a^2+a^2+a^2}=47sqrt3$$ => $$sqrt3a=47sqrt3$$ => $$a=47$$ cm Let height of cuboid = $$h$$ cm, length, $$l=47$$ cm and breadth, $$b=23.5$$ cm According to ques, Volume of cuboid = Volume of cube => $$lbh=a^3$$ => $$47 imes23.5 imes h=(47)^3$$ => $$h=frac{47 imes47}{23.5}=94$$ cm => Ans - (A)
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