Problem involving polynomial equations

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The discussion centers on solving a polynomial equation related to constructing an open box from a rectangular sheet of tin measuring 8cm by 6cm. The volume of the box is specified as 16cm³, leading to the equations xyz = 16, 2x + y = 8, and 2x + z = 6. Participants confirm the validity of the equations and suggest eliminating variables to simplify the problem-solving process. A diagram is proposed as a potential aid for visualizing the solution.

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Identical squares are cut out from each corner of a rectangular sheet of tin 8cm x 6cm. The sides are bent upward to form an open box. If the volume of the box is 16cm^3, what is the length of each side of the squares cut out from the original sheet?

I came up with the following equations to start, I don't know if they're right though:

xyz = 16cm^3
2x + y = 8
2x + z = 6

I'll try to make a diagram and put it up later, if anyone thinks it would help.
 
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The equations look good. If you can eliminate either the y or the z from one of the second two equations you can solve it easily.
 

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