SOLUTION: https://gyazo.com/9fa27dadbd0ad63a30e8ff0166320983

Question 1177787: https://gyazo.com/9fa27dadbd0ad63a30e8ff0166320983
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

the area original uncut box is cm by cm
you deduct from the length and from the width
then the volume will be

given that
...expand and solve for
......using calculator, we get

then dimensions of the box are
-> length
->width
->height
check:

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The question asks for a formal algebraic solution; the response from the other tutor shows a typical good one.

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.

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.

7175 = 5*1435 = 5*5*287 = 5*5*7*41

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

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