The steel sheets used for constructing the reservoir are with the same uniform thickness. Determine the dimensions of the reservoir which minimise the amount of material used for its 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 storage reservoir with volume 32 m³ needs to be constructed (Figure Q5.c). The
reservoir is shaped like a parallelepiped with square bottom and is open on top.
The steel sheets used for constructing the reservoir are with the same uniform
thickness. Determine the dimensions of the reservoir which minimise the amount
of material used for its construction.
Figure Q5.c
Transcribed Image Text:A storage reservoir with volume 32 m³ needs to be constructed (Figure Q5.c). The reservoir is shaped like a parallelepiped with square bottom and is open on top. The steel sheets used for constructing the reservoir are with the same uniform thickness. Determine the dimensions of the reservoir which minimise the amount of material used for its construction. Figure Q5.c
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