A box of maximum volume with top open is to be made by cutting out four equal squares from four corners of a square tin sheet of side length a feet and then folding up the flaps. Find the side of the square cut-off.

An open topped box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides.Find the volume of the largest such box.

The corners of a square of side 'a' are cut away so as to form a regular octagon. What is the side of the octagon ?

A box without lid having maximum volume is made out of square metal sheet of edge60cms by cutting equal square pieces from the four corners and turning up the projecting pieces to make the sides of the box.The height of the box is

An open box is to be made out of a piece of a square card board of sides 18 cm by cutting off equal squares from the corners and turning up the sides. Find the maximum volume of the box.

A box is to be made from a sheet 12times12 sq.cm, by cutting equals squares from the four corners and turning up its sides. Find the length of the side of the square to be cut out, in order to obtain a box of the largest possible volume?

From a square cardboard of side 18 cms an open tank is made by cutting off equal squares from the corners of cardboard and turning up the sides. The maximum volume of the tank is

A box without lid having maximum volume is to be made from a rectangular piece of 32cm xx20cm by cutting equal squares from the four cormers and turning up the projected ends.The height of the box is

Four equal masses (each of mass M) are placed at the corners of a squares side a the escape velocity of a body from the centre O of the square is

An open box is be made from a rectangular cardboard of sides 35 cm and 20 cm, by cutting equal squares from each corner and then bending up the edges. If the base area of box thus formed is 250 cm^(2) , find the length of the side of the square cut from each corner.

A regular octagon is formed by cutting congruent isosceles right-angled triangles from the corners of a square. If the square has side-length 1, the side-length of the octagon is-