SOLUTION: a open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning upp the edges.if the box is to hold 864 cubic fe

Question 718019: a open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning upp the edges.if the box is to hold 864 cubic feet,what should be the dimensions of the sheet metal?what is the length of a side of the square piece of sheet metal?
Found 2 solutions by lynnlo, josgarithmetic:
Answer by lynnlo(4176) (Show Source): You can put this solution on YOUR website!

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Original side length of the square sheet, call it variable L. The bottom, when the 6 foot square piece is removed and flaps raised, will be . Since this started with a square sheet, each side is 6 feet high.

Volume which this box holds is the area of the base multiplied by height.
Volume is . A little more simply, , and we should simplify by division by 6: , which should be uncomplicated to solve for L.
RELATED QUESTIONS
An open Box is to be constructed from a square piece of sheet metal by removing a square... (answered by josgarithmetic)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by checkley77)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by solver91311,josgarithmetic)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by checkley77)
an open box is to be constructed from a square piece of sheet metal by removing a square... (answered by mananth)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by greenestamps)
an open box is to be constructed from a square piece of sheet metal by removing a square... (answered by ikleyn,josgarithmetic)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by ankor@dixie-net.com)
An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by solver91311)