An open box is to be made from a square piece of sheet metal

An open box is to be made from a square piece of sheet metal by removing a square of side 3 Inches from corner and turning up the edges. If the volume of the box is to be 867 cubic inches, what is the length of the sides of the square of the sheet metal. 23 inches 28 inches 25 inches 26 inches None of the above

Solution

Here h =3

Volume = length*width*height

867=(x-6)(x-6)3

289=x^2 -12x+36

x^2 -12x -253=0

(x+11)(x-23)=0

x=23inches