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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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