An Open Box Is Formed by Cutting a Square Piece

question 164

Short Answer

An open box is formed by cutting a square piece out of each corner of a 8-inch by 8-inch piece of metal.If each side of the squares cut out is x inches long,the volume of the box is given by
This problem only makes sense when this volume is positive.Find the values of x for which the volume is positive.

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Definitions:

Motivation

The psychological processes that arouse and direct goal-directed behavior.

Open Innovation

An approach to innovation that stresses the importance of collaboration and sharing ideas and technologies between organizations rather than relying solely on internal resources and capabilities.

Organization

An entity comprising multiple people structured in a specific way to achieve a series of goals or objectives.

Knowing-Doing Gap

The disconnect between knowing what needs to be done and actually implementing or doing it, often observed in organizational settings.