1. What is the height of the cuboid, if the cube of diagonal 22√3 cm is melted and casted, the cuboid’s length is the same as the cube’s side and the breadth of the cuboid is 11 cm? (in cm)
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- By: anil on 05 May 2019 01.13 amLet side of cube be $$a$$ cm => Diagonal = $$sqrt{a^2+a^2+a^2}=22sqrt3$$ => $$sqrt3a=22sqrt3$$ => $$a=22$$ cm Let height of cuboid = $$h$$ cm, length, $$l=22$$ cm and breadth, $$b=11$$ cm According to ques, Volume of cuboid = Volume of cube => $$lbh=a^3$$ => $$22 imes11 imes h=(22)^3$$ => $$h=frac{22 imes22}{11}=44$$ cm => Ans - (B)
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