A box is to be manufactured such that its width is exactly three times its length and its volume is 36 cubic meters. Assuming that the box is closed on all sides, determine the smallest amount of material needed for it construction.

A box is to be manufactured such that its width is exactly three times its length and its volume is 36 cubic meters. Assuming that the box is closed on all sides, determine the smallest amount of material needed for it construction.

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 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...

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A box is to be manufactured such that its width is exactly three times its length and
its volume is 36 cubic meters. Assuming that the box is closed on all sides,
determine the smallest amount of material needed for it construction.

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