The area of the rectangular piece of cardboard shown below is 216216 square inches. The cardboard is used to make an open box by cutting a 33​-inch square from each corner and turning up the sides. If the box is to have a volume of 216216 cubic​ inches, find the length and width of the cardboard that must be used.

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
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
Question
The area of the rectangular piece of cardboard shown below is
216216
square inches. The cardboard is used to make an open box by cutting a
33​-inch
square from each corner and turning up the sides. If the box is to have a volume of
216216
cubic​ inches, find the length and width of the cardboard that must be used.
On the left is a rectangle with width W and length L. In the middle is the rectangle with a small square cut from each corner and a dashed rectangle touching the inside corner of the cut rectangles. On the right is a box with an open top formed by folding the edges of the rectangle up along the dashed lines.WL
The length of the cardboard is
nothing
inches and the width is
nothing
inches.
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