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A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 60 cm 180 cm X= cm (Type an integer or decimal rounded to the nearest tenth as needed.)

A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 60 cm 180 cm X= cm (Type an integer or decimal rounded to the nearest tenth as needed.)

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 43PS
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X= ?? Cm
A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 60 cm 180 cm X= cm (Type an integer or decimal rounded to the nearest tenth as needed.)
Transcribed Image Text:A box with a lid is to be made from a rectangular piece of cardboard measuring 60 cm by 180 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum. Lid 60 cm 180 cm X= cm (Type an integer or decimal rounded to the nearest tenth as needed.)
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