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

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

Show that the height of a cylinder of given total surface area and open at the top has maximum volumes is equal to the radius of its base .

A pyramid with vertex at point P has a regular hexagonal base A B C D E F , Position vector of points A and B are hat i and hat i + 2 hat j The centre of base has the position vector hat i+ hat j+sqrt(3) hat kdot Altitude drawn from P on the base meets the diagonal A D at point Gdot find the all possible position vectors of Gdot It is given that the volume of the pyramid is 6sqrt(3) cubic units and A P is 5 units.

If the area of the base of a right circular cone be 4pi r^2 sq-cm and height be 3 cm , then the volume of the cone will be

If three edges of a cuboid be a, b, c units volume be v cubic units and total surface areas be s sq-units, then what is the value of 1/v ?

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.

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.

Write True or False If the inner and outer radii of a hollow sphere are r unit and R unit, then the volume of hollow sphere is 4/3 pi(R^3-r^3) c.unit.

If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154 sq. units, then the equation of the circle is