An open box is to be made from a square piece of cardboard whose sides are 10 inches long, by cutting squares of equal size from the comers and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. 10 in 10 i

An open box is to be made from a square piece of cardboard whose sides are 10 inches long, by cutting squares of equal size from the comers and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. 10 in 10 i

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

Section9.1: Prisms, Area And Volume

Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....

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Question

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An open box is to be made from a square piece of cardboard whose sides are 10
inches long, by cutting squares of equal size from the coners and bending up the
sides. Determine the size of the square that is to be cut out so that the volume
may be a maximum.
10 in
10 in
.....
A square with a side of length
(Round to two decimal places as needed.)
inches should be cut away from each corner to obtain the maximum volume.

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