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

question 476

Multiple Choice

Solve the problem.
-A rectangular piece of cardboard measuring 24 inches by 30 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. What is the maximum volume of this box? If necessary, round to 2 decimal places.

• A) \(121.87\)
• B) \(585.52\)
• C) \(1417.87\)
• D) \(20,046.4\)

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Definitions:

Monetary Inducements

Financial incentives offered to encourage a person to undertake an action or adopt a particular stance.

Autonomy

The capacity to make an informed, uncoerced decision; in healthcare, it refers to a patient's right to make decisions about their own medical treatment.

Incarceration

The act of detaining individuals in prison as a form of punishment following the commission of a crime.

Morally Legitimate

Considered ethically acceptable or justifiable according to moral principles or ethical standards.