Question

find the surface area of the largest possible cube made out of a wooden sphere of radius 6√3 cm.

Answer 1

Hi ,

**********************************************************************************
If the largest possible cube is inscribed in a sphere of radius

' r ' cm , then

The edge of the cube = a = 2r / ( sqrt 3)

**************************************************************************************

Given ,

Redius of the wooden sphere = r = 6 sqrt 3 cm

Therefore,

The largest possible cube made out a wooden sphere's edge

a = (2 × 6 sqrt 3 ) / ( sqrt 3)

a = 12 cm

Total surface area of the cube = 6 a ^2

= 6 × ( 12 ) ^2

= 6 × 144

= 864 square cm.

I hope this will useful to you.

******

Answer 2

Now diagonal of the cube  =  diameter of the sphere.

So, substituting formulas-

31/2 * a  =  2 * 6 * 31/2  [ where a = side of the cube]

so, a = 6 x 2

 So, a = 12 cm.

So, surface area of the cube is 6a2 .

So T.S.A. of cube = 6 x 12 x 12 = 864 sqr cm .

Yaa its 5he right answer

Plz coment me