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.


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