If the length of the diagonal of a cube is 6 √(3) cm, then the length of the edge of the cube is:

If the length of the diagonal of a cube is 6 √(3) cm, then…

If the length of the diagonal of a cube is 6 $\sqrt{3}$ cm, then the length of the edge of the cube is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 6 cm

Given:

Diagonal of cube = $6\sqrt{3}$ cm

Formula Used:

Diagonal of cube = $a\sqrt{3}$

Explanation:

According to the given question,

Diagonal of cube = $6\sqrt{3}$

⇒ $a\sqrt{3}$ = $6\sqrt{3}$

⇒ a = 6

Hence the required answer is 6 cm.