If Equal, Rigid Spheres Are Arranged in a Simple Cubic

question 47

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) r³, with  = 3.14.]

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

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Definitions:

Cohen's D

A measure of effect size indicating the standardized difference between two means.

Standard Deviation Units

Units measured in terms of the number of standard deviations away from the mean of the distribution.

Cohen's D

A measure of effect size indicating the standard deviation difference between two means.

Effect

The change or impact that an independent variable has on a dependent variable in an experimental setting.