Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D/3D

Question:

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

Options:

3 cm

3$\sqrt{3}$ cm

$\sqrt{3}$ cm

$\frac{1}{\sqrt{3}}$ cm

Correct Answer:

3$\sqrt{3}$ cm

Explanation:

The correct answer is Option 2: 3$\sqrt{3}$ cm

Volume of a cube $V = a^3$

Given:
$a^3 = 27$

So,
$a = \sqrt[3]{27} = 3$

The space diagonal of a cube is:

$d = a\sqrt{3}$​

Substitute $a = 3$:

$d = 3\sqrt{3}\ \text{cm}$