Question

If the diagonal of a cube is 6√3 cm,then find its surface area
this is urgent​

Answer 1

Hope this answer will be helpful

Answer 2

Answer:

The surface area of a cube is $216$ $cm^{2}$.    

Step-by-step explanation:

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

To find : Surface area of a cube?

Solution :

• The diagonal of a cube = $6\sqrt{3}$ cm
• We have to find the surface area of a cube.
• We know that, cube has six equal sides of square shape.
• The formula for diagonal of a cube is $\sqrt{3} a$.
• So,  

       $\sqrt{3} a=6\sqrt{3}$

        ∴ $a=6$

• ∴ Side of a cube is $6$ cm.
• Now,

    The surface area of cube = $6a^{2}$

                                          = $6*6^{2}$

                                          = $6*36$

                                          = $216$ $cm^{2}$

• ∴ The surface area of a cube is $216$ $cm^{2}$.