Solve the following optimization problems 9. Make an open box from a square cardboard with sides measuring36 cm by cutting equal squares out of the corners turning thesides. Find the dimensions of the box that will give the maximumvolume.10. From a piece of cardboard that is 24 cm by 48 cm, cut equalsquares out of the corners. Fold up the sides to form an openbox. Determine the height of the box that will give the maximumvolume.11. A rectangular chicken pen is bounded on one side by the wall ofthe house and the other three sides by 160 meters of fences. Findthe dimensions of the chicken pen if the area is a maximum.

Answered: Image /qna-images/answer/e87147a3-841a-422a-92cb-9e406942f324.jpg

Answered: 9. Make an open box from a square…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 32A: A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high....

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Similar questions

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A piece in the shape of a frustum of a pyramid with regular octagon bases is 23.84 centimeters high. The length of each side of the larger base is 8.17 centimeters, and the length of each side of the smaller base is 6.77 centimeters. If a side (s) of a regular octagon is known, its area (A) can be computed by the formula A4.828s2 . Determine the volume of the piece. Round the answer to the nearest cubic centimeter.

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9. Make an open box from a square cardboard with sides measuring 36 cm by cutting equal squares out of the corners turning the sides. Find the dimensions of the box that will give the maximum volume.