Ajewelry box has a length that is 2 inches longer than the width and a height that is 1 inch smaller than the width. the volume of the box is 140 cubic inches. what is the width of the jewelry box?

Given that a jewelry box has a length that is 2 inches longer than the width and a height that is 1 inch smaller than the width.

Let the width of the box be w, then the length of the box is given by l = w + 2 and the height of the box is given by h = w - 1.

The volume of a box is given by



Given that the volume of the box is 140 cubic inches. Thus



Thus, the width of the jewelry box is obtained as follows



Therefore, the width of the jewelry box is 5 inches.

*Note that gives complex roots, so we did not use it.

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