An open box is formed by cutting a square piece out of each corner of a 8-inch by 8-inch piece of metal. If each side of the squares cut out is x inches long, the volume of the box is given by  This problem only makes sense when this volume is positive. Find the values of x for which the volume is positive.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 38E: The lengths of the legs of a right triangle are consecutive even integers. The numerical value of...
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An open box is formed by cutting a square piece out of each corner of a 8-inch by 8-inch piece of metal. If each side of the squares cut out is x inches long, the volume of the box is given by  This problem only makes sense when this volume is positive. Find the values of x for which the volume is positive.

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