SOLUTION: Identical squares are cut from each corner of an 8inch by 11.5 inch rectangular piece of cardboard. the sides are folded up to make a box with no top. if the volume of the resultin

Algebra ->  Finance -> SOLUTION: Identical squares are cut from each corner of an 8inch by 11.5 inch rectangular piece of cardboard. the sides are folded up to make a box with no top. if the volume of the resultin      Log On


   

Question 985122: Identical squares are cut from each corner of an 8inch by 11.5 inch rectangular piece of cardboard. the sides are folded up to make a box with no top. if the volume of the resulting box is 63.75 cubic inches, how long is the edge of each square that is cut off?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangle starts with w=8 and L=11.5;
Edge of each square removed from corners is x=unknown which you want to find.
Folding the flaps makes box of volume v=63.75.

The height of the box will be x.
The base area of the box will be (w-2x)(L-2x).
The volume will fit highlight%28x%28w-2x%29%28L-2x%29=v%29.

Only one variable is unknown, being x.
Solve for x. You may find more than one solution, but some of them need to be sensibly rejected.