A 900 ft.³ pool is to be built with the square bottom of side length X. The sides are built with tiles in the bottom cement. The cost per unit of tile is five dollars per square foot and the cost of the bottom is two dollars per square foot. For safety reasons The height must be 3 feet or less. If there is $1650 available for the cost of the material of the pool, what dimensions should the pool be? Round your answer off to two decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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A 900 ft.³ pool is to be built with the square bottom of side length X. The sides are built with tiles in the bottom cement. The cost per unit of tile is five dollars per square foot and the cost of the bottom is two dollars per square foot. For safety reasons The height must be 3 feet or less. If there is $1650 available for the cost of the material of the pool, what dimensions should the pool be? Round your answer off to two decimal places.
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