Solve the Problem $x$ Represent the Length of a Side of Each Such Square

question 6

Multiple Choice

Solve the problem.
-A rectangular piece of cardboard measuring 17 inches by 45 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let $x$ represent the length of a side of each such square. For what value of $x$ will the volume be a maximum? If necessary, round to 2 decimal places.

• A) \(3.77\)
• B) \(33.79\)
• C) \(19.58\)
• D) \(16.89\)

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Definitions:

Fragmentation Corollary

A principle in psychology that suggests an individual's self-concept can become divided and inconsistent under stress.

Instinctive Drives

The innate impulses that guide behavior without the need for conscious thought, often related to survival and reproduction.

Need to Self-Actualize

A psychological concept referring to the motivation to realize one's own maximum potential and capabilities.

Being Alive

The state or quality of having life, often discussed in the context of what constitutes meaningful or fulfilling existence.