If Equal, Rigid Spheres Are Arranged in a Simple Cubic

question 6

Multiple Choice

If equal, rigid spheres are arranged in a simple cubic lattice in the usual way (that is, in such a way that they touch each other) , what fraction of the corresponding solid will be empty space? [The volume of a sphere is (4/3) πr³, with π = 3.14.]

• A) 0.52
• B) 0.32
• C) 0.68
• D) 0.48
• E) none of these

---

Definitions:

Proposition

A statement that expresses a judgment or opinion, which can be either true or false.

Statement

A declarative sentence that is capable of being true or false.

Grass

Plants belonging to the family Gramineae that are common worldwide in varied habitats and used for lawns, food, and fodder.

Proposition

A statement or assertion expressing a judgment or opinion that can be either true or false.