Three metal cubes with edges 15 cm, 12 cm and 9 cm, respectively are melted together and formed into a single cube. Find the diagonal of this cube.

Metallic spheres of radii 6 cm, 8 cm, and 10 cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Metallic spheres of radii 6cm,8cm and 10cm respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.

Three metallic spheres with radii 3 cm, 4 cm and 5 cm are melted and recast into a single sphere. Then, the radius of the new sphere formed is ......... cm.

The diameter of the internal and external surfaces of a hollow hemispherical shell are 6 cm and 10 cm respectively. It is melted and recast into a solid cylinder of diameter 14 cm . Find the height of the cylinder.

The edge of a cube is 6 cm. Find the area of its lateral surfaces.

A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

The length, breadth and height of a cuboidal box are 15 cm, 12 cm and 8 cm respectively. Find its total surface area.

A right triangle, whose base and height are 15 cm and 20 cm respectively is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed.

The length, breadth and height of a cuboid are 20 cm, 15 cm and 10 cm respectively. Find the area of its lateral surfaces.

the decorative block shown in the given figure is made of two solids -a cube and a hemisphere. The base of the block is acube with ege 5 cm, and the hemisphere fixed on the top a diameter of 4.2 cm. Find the total surface area of the block (Take pi=(22)/(7))