10th Mensuration

1. A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm.How many such tiles are required to cover a floor of area 1080 m 2 ?(If required you can split the tiles in whatever way you want to fill up the corners).

2. An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round?Remember,  circumference of a circle can be obtained by using the expression

3. The area of a trapezium shaped field is 480 m 2 ,the distance between two parallel sides is 15 m and one of the parallel side is 20 m.Find the other parallel side.

4. The area of a trapezium is 34 cm 2 and the length of one of the parallel sides is 10 cm and its height is 4 cm.Find the length of the other parallel side.

5. Length of the fence of a trapezium shaped field ABCD is 120 m.If BC =48 m,CD =17 m and AD =40 m,find the area of this field.Side AB is perpendicular to the parallel sides AD and BC.

6. The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the
7. remaining opposite vertices are 8 m and 13 m.Find the area of the field. 5.The diagonals of a rhombus are 7.5 cm and 12 cm.Find its area.

8. Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of its diagonals is 8 cm long,find the length of the other diagonal.

9. The floor of a building consists of 3000 tiles which are rhombus shaped and each of its diagonals are 45 cm and 30 cm in length.Find the total cost of polishing the floor, if the cost per m 2 is Rs 4.

10. The internal measures of a cuboidal room are 12 m × 8 m × 4 m..Find the total cost of whitewashing all four walls of a room,if the cost of white washing is Rs 5 per m 2 .What will be the cost of white washing if the ceiling of the room is also whitewashed.

11. In a building there are 24 cylindrical pillars.The radius of each pillar is 28 cm and height is 4 m.Find the total cost of painting the curved surface area of all pillars at the rate of Rs 8 per m 2 .

12. The lateral surface area of a hollow cylinder is 4224 cm 2 . It is cut along its height and formed a rectangular sheet of width 33 cm.Find the perimeter of rectangular sheet?

13. .A road roller takes 750 complete revolutions to move once over to level a road.Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.