Write whether True or False and justify your answer

If the Length of the diagonal of a cube is 6√3 cm, then the Length of the edge of the cube is 3 cm.

Given: Length of the diagonal of a cube = 6√3 cm

We need to find length of the edge of the cube.

The relation between length of the edge of a cube and length of the diagonal of cube is given as,

Length of diagonal = √3 × length of the edge [of a cube]

⇒ 6√3 = √3 × length of the edge

⇒ length of the edge = (6√3)/√3 = 6 cm

Thus, length of the edge of the cube is 6 cm.

Hence, it is false.