Question

If volume of the cube is 0.512 cm³ then, find the diagonal of the cube up to two decimal.
1. 1.34 cm
2. 1.44 cm
3. 1.38 cm
4. 1.48 cm

Answer 1

Correct Answer - Option 3 : 1.38 cm

Given: 

The volume of the cube is 0.512 cm³

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.