If the volume of a cube is 27cm3, then the diagonal of cube is
Answer & explanation
Correct answer: option 2
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 $a = 3$:
$d = 3\sqrt{3}\ \text{cm}$