The Volume of a Cube with Sides of Length S

question 17

Multiple Choice

The volume of a cube with sides of length s is given by . Find the rate of change of volume with respect to when centimeters.

• A) 648 cm²
• B) 216 cm²
• C) 36 cm²
• D) 108 cm²
• E) 72 cm²

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Definitions:

Distribution

The way in which values are spread or distributed across a range in a dataset.

Measure of Variability

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset, examples include range, variance, and standard deviation.

Measure of Central Tendency

A statistical measure that identifies a single value as representative of an entire distribution of data, such as the mean, median, or mode.

Statistic

A numerical value that summarizes or describes an aspect of a sample.