If the length of the longest diagonal of a cube is 6√3 cm, then find the volume of the cube.

Correct option is C

Given:
Diagonal of cube = 6√3 cm
Formula Used:
Diagonal = √3 × a
Volume of a cube = $$a^3$$​​
Solution:
Side of the cube = $$\dfrac{\text{Diagonal}}{\sqrt{3}} = \dfrac{6\sqrt{3} \ \text{cm}}{\sqrt{3}} = 6 \ \text{cm}$$​​

Volume of the cube = (Side)³ = (6 cm)³ = 216 cm³
Therefore, the volume of the cube is 216 cubic cm