There is a wooden sphere of radius 6√3cm. The surface

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There is a wooden sphere of radius 6√3cm. The surface area of the largest possible cube cut out from the sphere will be

1. 864 cm²
2. 464√3 cm²
3. 462 cm²
4. 646√3cm²

Correct Option: A

Diagonal of cube = Diameter of sphere = 6√3 × 2 = 12√3 cm.

∴ Edge of cube =	12√3	= 12 cm.
	√3

∴ Surface area of cube = 6 × (edge)² = (6 × 12 × 12) sq. cm.
= 864 sq. cm.