An Open Box with Volume Of $8000$ Cm $3$ Is to Be Constructed by Taking a Piece of Cardboard

question 67

Essay

An open box with volume of $8000$ cm $3$ is to be constructed by taking a piece of cardboard $40$ cm by $60$ cm, cutting squares of side length $x$ cm from each corner. Show that this can be done in two ways, and find the exact dimensions of the box in each case.

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Definitions:

Subcontractors

Independent entities hired by a primary contractor to perform a specific task as part of a larger project.

Distribution Center

A facility for the receipt, storage, and redistribution of goods to company stores or customers; may be operated by retailers, manufacturers, or distribution specialists.

Production Center

A facility or area dedicated to manufacturing or producing goods, often focused on efficiency, output, and meeting organizational production goals.

Marketing Mix

A set of actions, or tactics, that a company uses to promote its brand or product in the market, often summed up by the four Ps: product, price, place, and promotion.