SOLUTION: A rectangular box has sides of integer length and surface area equal to 2010 square units. What is the maximum volume it could have?

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Question 266512: A rectangular box has sides of integer length and surface area equal to 2010 square units. What is the maximum volume it could have?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
If the box has a top the maximum volume is 5850 cubic units
when the dimensions are 15x15x26
If the box has no top then the maximum volume is 11700 cubic
units when the dimensions are 30x15x26
Edwin