A cube of maximum possible volume is removed from a solid wooden sphere of radius 6 cm. The side of the cube is:
Answer & explanation
Correct answer: option 1
We know that,
Diagonal of cube = \(\sqrt {3}\) × Side of cube
We have,
Radius of the sphere = 6 cm
then, Diameter of the sphere = 2 × 6 = 12 cm
We also know that, Diagonal of cube = Diameter of sphere
\(\sqrt {3}\) × Side of cube = 12
= Side = 4\(\sqrt {3}\)