A Closed Box Is to Be Constructed from a Rectangular

question 63

Multiple Choice

A closed box is to be constructed from a rectangular sheet of cardboard that measures 57 inches by 28 inches.The box is made by cutting rectangles that measure x inches by 2x inches from two of the corners and by cutting two squares that measure x inches by x inches from the top and from the bottom of the rectangle, as shown in the following figure.Use a graphing calculator to determine what value of x (to the nearest thousandth of an inch) will produce a box with maximum volume?

• A) 5.314
• B) 21.000
• C) 4.222
• D) 16.686
• E) 3.707

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Definitions:

Temperament

An individual's innate disposition or behavioral style and characteristic emotional response.

Personality

The combination of characteristics or qualities, including patterns of thought, feelings, and behaviors that make a person unique.

Reactive Autonomic Nervous System

Refers to the part of the autonomic nervous system that responds involuntarily to stress, causing physical reactions.

Emotional Stability

A personality trait that reflects the extent to which a person's mood and emotions are consistent and not prone to frequent fluctuations.