solid geometry - Geometric visualization

SOURCE:COMPETITION
Number of Problems: 5. : (Book)

 

 

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A sphere is inscribed in a cube that has a surface area of 24 square meters. A second cube is then inscribed within the sphere. What is the surface area in square meters of the inner cube?

ext{(A)} 3 qquad ext{(B)} 6 qquad ext{(C)} 8 qquad ext{(D)} 9 qquad ext{(E)} 12

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