An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.

The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?

The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?

The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?

A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?

The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.

The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?

A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?