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.