popcorn box is created from a 18"x 13" sheet of paperboard by first cutting out four shaded rectangles, each of length x and width. as shown in the figure to the right. The remaining paperboard is folded along the solid ines to form a box What dimensions of the box maximize the volume f the box? he box is approximately inches tallinches long, and inches deep. ype integers or decimals rounded to the nearest tenth as needed)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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A popcorn box is created from a 18" x 13" sheet of paperboard by first cutting out four shaded rectangles, each of length x and width
as shown in the figure to the right. The remaining paperboard is folded along the solid lines to form a box. What dimensions of the box maximize the volume
of the box?
2.
The box is approximately inches tall, inches long, and inches deep.
(Type integers or decimals rounded to the nearest tenth as needed.)
Transcribed Image Text:A popcorn box is created from a 18" x 13" sheet of paperboard by first cutting out four shaded rectangles, each of length x and width as shown in the figure to the right. The remaining paperboard is folded along the solid lines to form a box. What dimensions of the box maximize the volume of the box? 2. The box is approximately inches tall, inches long, and inches deep. (Type integers or decimals rounded to the nearest tenth as needed.)
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