Problems 5060 do not match the examples in this text, but all the problem-solving techniques necessary to

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Problems 50–60 do not match the examples in this text, but all the problem-solving techniques necessary to answer these questions have been covered in this text. These problems are designed to test your problem-solving abilities.


The longest rod that will just fit inside a rectangular box, if placed diagonally top to bottom, is 17 inches. The box is 1 inch shorter and 3 inches longer than it is wide. How much must you cut off the rod so that it will lie flat in the bottom of the container? What are the dimensions of the box?

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