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To find the height of the tank, we can use the formula for the volume of a rectangular prism:
Volume = Length x Width x Height
Given that the volume is 8550 cubic inches, the length is 20 inches, and the width is 18 inches, we can plug these values into the formula:
8550 = 20 x 18 x Height
8550 = 360 x Height
Divide both sides by 360:
Height = 8550 / 360
Height = 23.75
Therefore, the tank must have a height of 23.75 inches to meet the specified dimensions and volume.