A sheet of area `40m^2` is used to make an open tank with square base. Find the dimensions of the base such that the volume of this tank is maximum.

An open tank of volume 32 cu. Metre consists of a square base with vertical sides. Find the dimensions of the tank when the expense of lining it with lead is minimum.

An open box with a square base is made out of a given iron sheet of area 27 sq.m. Then, the maximum volume of the box is-

The volume of an open tank with a square base of side x m is 40m^3 . Express its total surface area as a function of x.

An open cylindrical tank whose base is a circle is to be constructed of metal sheet so as to contain a volume of pi a^(3)cu.cm of water.Find the dimensions so that the quantity of metal sheet required is a minimum.

An open recangular tank with a square base and 32 c.c of capacity has least surface aren in sq. cms is

An open box with a square base is to be made out of a given iron sheet of area 27sq.m. Show that the maximum volume of the box is 13.5 cu. Cm.

If the capacity of a cylindrical tank is 1848m^(3) and the diameter of its base is 14m, the depth of the tank is