The length of a cuboid is twice its breadth and its height is half of its breadth. If the height of the cuboid is 2 cm, then what is the edge of a cube having the same volume as that of the cuboid?

4 cm

We have,

Height = 2 cm

Height = \(\frac{ breadth }{2}\) 

Breadth = 4 cm

Length = 2 × Breadth = 8 cm

We have given,

The volume of cuboid = Volume of cube

Length × Breadth × Height = (edge)³

 (Edge)³ = 8 × 4 × 2

Edge)³ = 64

Edge = 4 cm