A manufacturer wants to design an open box having a square base and a surface area of 108 sq. cm. Determine the dimensions of the box for the maximum volume.

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 a cubiodal box is 24 cm^3 and base area is 12 sq. cm , then the height of the box is

If volume of a box, having square base and open top, is 108m ^(3) , then its minimum area is

The volume of a closed rectangular metal box with a square base is 4096 cm^(3) . The cost of polishing the outer surface of the box is Rs 4 per cm^(2) . Find the dimensions of the box for the minimum cost of polishing it.

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

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

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-

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) .