- 27 cm
^{3} - 27 cm
^{2} - 54 cm
^{3} - 16 cm
^{3}

Option 1 : 27 cm^{3}

**Given: **

The diagonal of a cube = √27 cm

**Formula Used:**

The volume of cube = (side)^{3}

Diagonal of cube = √3 × side

**Calculation:**

Diagonal of cube = √3 × side

√3 × side = √27

Squaring both sides,

3 × side^{2} = 27

⇒ Side = 3 cm

The volume of cube = (side)3

⇒ The volume of cube = (3 cm)3

∴ The volume of cube = 27 cm3

The correct option is 1 i.e. 27 cm3

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 2,19,50,464+ Students

Testbook Edu Solutions Pvt. Ltd.

1st & 2nd Floor, Zion Building,

Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

[email protected]
Plot No. 273, Sector 10, Kharghar,

Navi Mumbai - 410210

Toll Free:1800 833 0800

Office Hours: 10 AM to 7 PM (all 7 days)