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:

Enrichment

A benefit or advantage that one party gains, often at the expense of another, without offering compensation in certain legal contexts.

Quasi-contract

A legal concept where a court enforces an agreement between parties even though there is no actual contract between them, to prevent one party from being unjustly enriched.

Unjust

Not based on or behaving according to what is morally right and fair.

Unilateral Contract

A contract in which only one party makes an enforceable promise to perform an action, often in response to an act by the other party.