A machine produces open boxes using square sheets of metal measuring 12 inches on each side. The machine cuts equal-sized squares from each corner. Then it shapes the metal into an open box by turning up the sides. a. Express the volume of the box, V, in cubic inches, as a function of the length of the side of the square cut from each corner, x, in inches. b. Find the domain of V.

Trigonometry (MindTap Course List)
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ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
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A machine produces open boxes using square sheets of metal measuring 12 inches on each side. The machine cuts equal-sized squares from each corner. Then it shapes the metal into an open box by turning up the sides.

a. Express the volume of the box, V, in cubic inches, as a function of the length of the side of the square cut from each corner, x, in inches.

b. Find the domain of V.

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