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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?
Impulsive
Acting on spontaneous desires and immediate gratification without consideration of the consequences.
Liberal
A political and social philosophy advocating for freedom of the individual, democratic forms of government, and the protection of civil liberties.
Activity
The state of being active, engaged, or involved in actions or tasks, often measured in studies of behavior or productivity.
Increases
A rise or growth in quantity, size, or number.
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