Question

If the length of diagonal of cube is 6underroot 3 cm . Then find the length of its edge

Answer 1

The formula of cube diagonalcs is √3a

So the length of diagonal is equal to the formula then..... After solving the both equation weget

6is the edge of the cube ...

√3@ : 6√3

@ : 6√3/√3

The a : 6.....

Answer 2

Given:

Diagonal of a cube =6√3cm.

To Find

Edge of the cube=?

Solution:

If the length of the diagonal are given as 6√3cm

Then as we know that the sides of a cube are same that means the area is equal to S2 if the side is denoted as S

Now according to the Pythagoras theorem the sum of the sides square is equal to the sum of the diagonal square therefore

S2+S2=(6√3)2

S2+S2= (6√3)2=108

2S2=108

S2=54

S=√54=18√3

Hence, the values of sides are

18√3cm.

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