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The loosest stable arrangement of equal sized spheres is obtained when the sphere centres form a ______ space lattice.

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The loosest stable arrangement of equal sized spheres is obtained when the sphere centres form a ______ space lattice.

(a) triangular

(b) rhombohedral

(c) rectangular

(d) hexagonal

I got this question in a job interview.

My question is taken from Packing of Uniform Spheres topic in chapter Preliminary Definitions and Relationships of Geotechnical Engineering I

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Best answer
Correct option is (c) rectangular

For explanation: When the sphere centres form a rectangular space lattice, then they form a packing known as cubic packing, wherein each sphere is in contact with six surrounding neighbouring spheres.

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