A solid cube 8 cm x 8 cm x 8 cm is cut symmetrically along its sides into smaller cubes of 1 cm x 1 cm x 1 cm. Now the upper layering of smaller cubes is taken off
uniformly from all faces and kept aside. The remaining structure of smaller cubes is dissembled and the number of cubes are counted to be x. A similar structure
of cubical shape is made with small spheres of diameter equal to the side of a small cube in the previous structure and number of spheres equal to x. This is now
covered with the upper layering, which was taken off and kept aside from the previous structure. What is most nearly the ratio of volume of empty space to the
volume of the solid in the new structure?
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Answer:
becouse it is three times 8=512 and 1 ka cube =1
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