An Open Rectangular Box Having a Surface Area of

question 126

Multiple Choice

An open rectangular box having a surface area of is to be constructed from a tin sheet.Find the diamensions of the box if the volume of the box is to be as large as possible. What is the maximum volume? Hint : Let the diamentions of the box be (see the figure as follows) . Then the surface area is and its volume is .

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Definitions:

Principal

The original amount of money borrowed or invested, before any interest or profit is added.

Agent

An entity that acts on behalf of another entity or person, typically in a business context.

Operating

The process of controlling and managing the day-to-day activities necessary for running a business or organization.

Incentive Scheme

A structured plan designed to promote or encourage specific actions or behaviors by offering rewards or penalties.