SOLUTION: A box is formed by cutting squares from the four corners of a 5"-wide by 7"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cut

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Question 1126506: A box is formed by cutting squares from the four corners of a 5"-wide by 7"-long sheet of paper and folding up the sides.
Let x represent the length of the side of the square cutout (in inches), let w represent the width of the base of the box (in inches), let l represent the length of the base of the box (in inches), let h represent the height of the box (in inches), and let V represent the volume of the box (in cubic inches).
Complete the table of values below. If an entry cannot be completed, enter "DNE".
x , WIDTH , LENGTH , HEIGHT , VOLUME
0 , 5 , 7 , 0 , 0
0.5 , (BLANK) , (BLANK) , 0.5 , (BLANK)
(BLANK) , 3 , (BLANK) , (BLANK) , (BLANK)
2.5 , (BLANK), (BLANK) , 2.5 , (BLANK)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, h, just choose one of these and stay with it for the side length of corner to cut from the original sheet of paper.

V for volume.

Staying with x, the other dimensions could be

system%28L=7-2x%2Cw=5-2x%2CV=x%287-2x%29%285-2x%29%29


You should be able to fill-in your table without much trouble.