A closed water tank has the form of a cuboid with a square base with sides of length x  and a height  h. The total surface area of the tank is 16000 cm2 Find the value of x which maximises the volume.  Give your answer correct to 2 decimal places.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter6: Some Methods In The Calculus Of Variations
Section: Chapter Questions
Problem 6.10P
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A closed water tank has the form of a cuboid with a square base with sides of length x  and a height  h. The total surface area of the tank is 16000 cm2

Find the value of x which maximises the volume. 

Give your answer correct to 2 decimal places.

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