Question

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

Answer 1

here is the answer........

Answer 2

Given :
radius of sphere (r) = 6√3

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

Solution :
• let the side of cube is 'a'
then the diagonal of the cube is given by a√3

• the diagonal of the largest possible cube made out of a sphere coincides with the diameter of the sphere.

given that,
radius of sphere = 6√3
diameter of sphere = 12√3
→ diagonal of cube = 12√3
a√3 = 12√3
a = 12

the total surface area of the cube is given by 6a^2.
surface area = 6 × 12^2
= 6 × 144
= 864.

RESULT :
the surface area of the largest possible cube made out of a wooden sphere of radius 6√3 is 864 sq.units