An open box of maximum volume is made from a square piece of tin of side a' by cutting for four equal square pieces from four corners and folding up the tin then length of square cut is `('a')/6`

An open top box of maximum possible volume from a square piece of tin of side 'a' is to be made by cutting equal square out of the corners and then folding up the tin to form the sides. Show that the length of the side of the square cut out is a/6.

A box without lid having maximum volume is made out of square metel sheet of edge 60 cms by cutting equal square pieces from the four corners and turing up the projecting pieces to make the sides of the box . The height of the box is

A box of maximum volume with open top is to be made out of a square tin sheet of side 6ft in length by cutting out small equal squares from the four corners of the sheet then height of the box is

A box is made from a piece of metal sheet 24 cms square by cutting equal small squares from each corner and traning up the edges If the volume of the box is maximum then then the dimensions of the box are

A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm by cutting equal squares of sides x from the corners of the sheet and the turning up the projected portions . The value of x so that volume of the box is maximum is

A cone is made from a circular sheet of radius sqrt(3) by cutting out a sector and giving the cut edges of the remaining piece together .The maximum volume attainable for the cone is