An open box, with a square base, is to be made out of a given quantity of metal sheet of area `"C"^2dot` Show that the maximum volume of the box is `("C"^3)/(6"\ "sqrt(3))`

An open box,with a square base,is to be made out of a given quantity of metal sheet of area C^(2). show that the maximum volume of the box is (C^(3))/(6sqrt(3))

An open box with a square base is to be made out of a given quantity of card board of area c^(2) square units.Show that the maximum volume of the box is (c^(3))/(6sqrt(3)) cubic units.

An open box with a square base is to be made out of a given quantity of cardboard of area c^(2) show that the maximum volume of box is (c^(3))/(6sqrt(3))

An open tank with a square base and vertical sides is to be constructed from a metal sheet so as to hold a given quantity of water.Show that the cost of the material will be least when depth of the tank is half of its width.

A box is made with square base and open top. The area ofthe material used is 192sq.cms. If the volume of the box is maximum,the dimensions of the box are

A box with a square base is to have an open top. The surface area of the box is 192sq.cm. What should be its dimensions in order that the volume is largest?

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each corner and foding up the flaps to form a box. What should be the side of the square to be cut off so that the volume of the box is maximum ? Also, find this maximum volume.