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.
Answer & explanation
Correct answer: option 1
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\(\sqrt {3}\)