Question 1177787
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The question asks for a formal algebraic solution; the response from the other tutor shows a typical good one.<br>
Note that, if formal algebra were not required, and if the speed of getting an answer were important (as in a timed math competition), then logical reasoning and some mental arithmetic can get you to the answer very quickly.<br>
The volume is to be 7175; so find the prime factorization of 7175 and use that and logical reasoning to find the answer to the problem.<br>
7175 = 5*1435 = 5*5*287 = 5*5*7*41<br>
The dimensions of the original piece of cardboard differ by 6; and 5*7=35 is 6 less than 41.  So the dimensions of the box are 5x35x41<br>