optimization of box formed by cutting squares from corners

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mika0

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5. You have a 10-inch by 10-inch piece of cardboard which you plan to cut out and fold to form a box with a top. Find the dimensions of the box which has the largest volume.

please help me to solve this
 
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mika0 said:
attachment.php


5. You have a 10-inch by 10-inch piece of cardboard which you plan to cut out and fold to form a box with a top. Find the dimensions of the box which has the largest volume.
Click to expand...
They've given you the drawing and chosen a variable for you. Now use what you learned back in algebra to create an "area" expression, given the drawing and constraints. Then use this information to create a "volume" expression, and differentiate, etc.

If you get stuck, please reply showing all of your thoughts and efforts so far. Thank you! ;)
 
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