A Rectangular Box with a Square Base Is to Be

question 122

Multiple Choice

A rectangular box with a square base is to be formed from a square piece of metal with 30-inch sides. If a square piece with side x is cut from each corner of the metal and the sides are folded up to form an open box, the volume of the box is . What value of x will maximize the volume of the box? ​

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Definitions:

Private Property

Ownership of assets (land, buildings, goods) by individuals or corporations, legally protected by the government.

Karl Marx

A 19th-century philosopher, economist, and social scientist best known for his theories about capitalism and communism.

Capitalist

An economic system in which private individuals rather than the state own and control property and businesses, operating for a profit.

Worker

An individual who performs tasks or labors for payment, contributing their skills and efforts to an organization or economy.