Answer:
24 feet
Step-by-step explanation:
We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.
We have to find the dimensions of the sheet metal
Let x feet be the side of square metal sheet
Length of box=x-12 feet (because 6 feet removed from each corner)
Width of box=x-12 feet
Height of box=6 feet
Volume of box=864 cubic feet
We know that volume of cuboid=
Box is in cuboid shaped
Therefore, volume of box=
Then ,
x=0 is not possible because side of square metal sheet can not be zero
Therefore, x=24
All sides of square metal sheet are equal.
Hence, side of square metal sheet =24 feet