If the volume of a cube is 27cm3, then the diagonal of cube is

3 cm 3\(\sqrt {3}\) cm $\sqrt{3}$ cm $\frac{1}{\sqrt{3}}$ cm

3\(\sqrt {3}\) cm

Side of a cube = a cm Diagonal of a cube = \(\sqrt {3}\)a cm Volume of a cube = a3 According to question: Volume of a cube = 27 cm3 ⇒ a3 = 27 ⇒ a = 3 ⇒ Diagonal = \(\sqrt {3}\)a = 3\(\sqrt {3}\)