SOLUTION: I am not sure I am doing this right, Could you please tell if this the right formula and not sure where to go from there. An open-top box is to be constructed from a 6 by 8 foot

Question 25195: I am not sure I am doing this right, Could you please tell if this the right formula and not sure where to go from there.
An open-top box is to be constructed from a 6 by 8 foot rectangler cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
Find the V function that reprents the volume of the bos in terms of x.
Formula...V=L*W*H
Confused after that!!!!!!
Any help would be apprecited.....

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An open-top box is to be constructed from a 6 by 8 foot rectangler cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
Find the V function that reprents the volume of the bos in terms of x.
Formula...V=L*W*H
Draw a decent sized rectangle. Label the longer sides
as 8 ft. and the shorter sides as 6 ft.
Now sketch a square to be removed from each corner
Let the sides of each of the 4 squares be "x".
Notice this leaves a smaller rectangle inside the
original rectangle. The dimensions of this smaller
rectangle are "6-2x" and "8-2x"
If you were to fold up the four remaining flaps to
form a box (with no top) you might agree the height
of the box would be "x".
So the volume of the box is x(6-2x)(8-2x)
That is the function you are looking for.
Cheers,
Stan H.

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