7. A closed box with square ends is to be constructed in such a way that its total surface area is 384 square centimetres. Let 'x' be the side length of the ends and 'y' its height. Find the largest possible volume of all such boxes.

7. A closed box with square ends is to be constructed in such a way that its total surface area is 384 square centimetres. Let 'x' be the side length of the ends and 'y' its height. Find the largest possible volume of all such boxes.

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

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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Question

7. A closed box with square ends is to be constructed in
such a way that its total surface area is 384 square
centimetres. Let 'x' be the side length of the ends and
'y' its height. Find the largest possible volume of all
such boxes.

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