We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners as shown below and fold up the sides to form a box, also shown below. Determine the height of the box that will give a maximum volume.

We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners as shown below and fold up the sides to form a box, also shown below. Determine the height of the box that will give a maximum volume.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 6CR: The base of a right prism is a regular hexagon whose sides are 8cm in length. The height of the...

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Question

We have a piece of cardboard that is 14
inches by 10 inches and we're going to cut
out the corners as shown below and fold up
the sides to form a box, also shown below.
Determine the height of the box that will give
a maximum volume.

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