The length and the breadth of a rectangle are made to increase and decrease, respectively, by 8% and 10%. What is the percentage increase or decrease in its area?

The total area of a circle and a square is 5450 cm². The diameter of the circle is 70 cm. What is the difference between the circumference of the circle and the perimeter of the square?

Piyush formed a larger cube from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is:

What is the volume of a cylinder if the radius of the cylinder is 10 cm and height is 20 cm? (Take π = 3.14)

The height and the radius of the base of a right circular cone are 12 cm and 6 cm respectively. The radius of the circular cross-section of the cone cut by a plane parallel to its base at a distance of 3 cm from the base is

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If the cube is completely submerged, then the rise of water level (in cm) is: