An Open Box Of Maximum Volume Is To Be Made From A Square Piece Of Cardboard Twentyfour Inches On Each Side By Cutting Equal Suares Frm The Corners And Turning Up The Sides

1 answer

as Reiny posted elsewhere,

let each side of the equal squares be x inches
length of box = 24-2x
width of box = 24-2x
height of box = x

a) Volume = x(24-2x)(24-2x)

now just find where dv/dx = 0, and you're done.