Question
A cube of 13√3 cm diagonals is melted to a cuboid. If
the length of the cuboid is similar to the back of the cube and the width is 6.5 cm, then what will be the height of the cuboid?Solution
As we know, Volume of cube = a³ Volume of cuboid = lbh The diagonal of the cube = √3 a √3 a =13√3 a = 13 cm Length of the cuboid, I = 13 cm Let the height of the cuboid be h cm. Width of the cuboid, b = 6.5 cm According to the question 13 x 6.5 x h = 13 x 13 x 13 h = (13 x 13 x 13)/ (13 x 6.5) h = 26 cm
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