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-

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.

An open box with a square base is to be made out of a given quantity of sheet of area a^2 , Show the maximum volume of the box is frac {a^3}{6 sqrt 3}

An open box with a square base is to be made out of a given Iron sheet of area 27 square meter. Show that the maximum volume of the box is 13.5 cubic meter.

An open box with a square base is to be made out of a given Iron sheet of area 36 square meter. Show that the maximum volume of the box is 12sqrt3 cubic meter.

An open box with a square base is to be made out of a given Iron sheet of area 18 square meter. Show that the maximum volume of the box is 3sqrt6 cubic meter.

An open box with a square base is to be made out of a given iron sheet of area c^2 square units. Show that the maximum volume of the box is c^3/(6sqrt3) cubic units.

An open box with a square base is to be made out of a given quantity of sheet of area a^2 . Show that the maximum volume is (a^3)/(6sqrt3) .

An open box, with a square base, is to be made out of a given quantity of metal sheet of area A^(2) , then the maximum volume of the box is-