if the diagonal of a cube is $\sqrt{27}$ cm, then its volume is:

27 cm3 32 cm3 30 cm3 25 cm3

27 cm3

Given, Diagonal of Cube  = √27 We know that, Diagonal of cube = Diagonal of cube = \(\sqrt {3}\) × Side of cube Volume of Cube = Side3 = \(\sqrt {3}\) × Side of Cube = $\sqrt {3}$ = Side of Cube = \(\frac{3\sqrt {3}}{\sqrt {3}}\) = Side of Cube = 3 Then the volume of a cube = 33 = 27