Correct Answer - Option 3 : 1.38 cm

**Given: **

The volume of the cube is 0.512 cm^{3}

**Concept: **

Side of cube = (Volume of cube)^{1/3}

Diagonal of cube = √3 × side

**Calculation: **

According to the question

Volume of the cube = (0.512)

⇒ (Side)^{3} = 0.512

⇒ Side = (0.512)^{1/3}

⇒ Side = (0.8)^{3}^{ × 1/3}

⇒ Side = 0.8 cm

Now,

Diagonal of the cube = √3 × 0.8

⇒ 1.73 × 0.8

⇒ 1.384 cm

or,

⇒ 1.38 cm

**∴ The required value of diagonal is 1.38 cm.**