Question

Question 8
If the length of the diagonal of a cube is $6\sqrt{3}cm$, then the length of the edge of the cube is 3 cm.

Answer 1

False.
Given, the length of the diagonal of a cube $=6\sqrt{3}cm$.

Let the length of the edge (side) of the cube be "a" cm.

Then, diagonal of the cube $=a\sqrt{3}$

$\Rightarrow 6\sqrt{3}=a\sqrt{3}$

$\Rightarrow a=6cm$

Hence, the edge length is 6 cm.