Question 109

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)

Let side of cube be $$a$$ cm

=> Diagonal = $$\sqrt{a^2+a^2+a^2}=47\sqrt3$$

=> $$\sqrt3a=47\sqrt3$$

=> $$a=47$$ 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

=> $$lbh=a^3$$

=> $$47\times23.5\times h=(47)^3$$

=> $$h=\frac{47\times47}{23.5}=94$$ cm

=> Ans - (A)

View More Questions From Quant

Create a FREE account and get: