A rectanglular box with a cover is to have a square base. The volume is to be 10 cubic cm The surface area of the box in terms of the side x is given by which one of the following functions ?

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 ?

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 cuboid with a square base and given volume v is shown in figure: Express surface area 'S' as a function of x.

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.

Find the height of a covered box of fixed volume so that the total surface area of the box is minimum whose base is a rectangle with one side three times as long as the other.

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-