find the surface area of the largest possible cube made out of a Wooden sphere of radius 6√3
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surface area is maximum when side length of cube equal diameter of sphere
surface area of cube =6x (side)^2=6x (diameter)^2=6x (12root3)^2=6x144x3=2592
surface area of cube =6x (side)^2=6x (diameter)^2=6x (12root3)^2=6x144x3=2592
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Diagonal of the cube = diameter of the sphere
√3×a=2×6√3 (Where a is side of the cube )
So, a=6√3×2=12√3
Surface area of cube =6a square
=6×[12√3] square
=6×144×3=2592
√3×a=2×6√3 (Where a is side of the cube )
So, a=6√3×2=12√3
Surface area of cube =6a square
=6×[12√3] square
=6×144×3=2592
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