Volume a Rectangular Box with a Square Base Is to Be

question 25

Multiple Choice

Volume. 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 $V = ( 30 - 2 x ) ^ { 2 } x$ What value of x will maximize the volume of the box?

• A)15
• B)3
• C)5
• D)7

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