A cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube. Find the length of the diagonal of the cube.

$18\sqrt{3}m$

Volume of cuboid = Length × Height × Breadth

Volume of cube = Side³

Volume of cuboid = volume of the cube

So, 36 × 18 × 9 = Side³

= 5832 = Side³

= a³ = 18³

= a = 18

So, the diagonal of the cube = 18\(\sqrt {3}\)