MENSURATION

TEST  CLASS 9TH

 

QUESTION 1. Suppose a quadrilateral having a diagonal of length 10 cm, which divides the quadrilateral into two triangles and the heights of triangles with diagonals as the base, are 4 cm and 6 cm. Find the area of the quadrilateral.

 

QUESTION 2.  Find the height of a cuboid whose volume is 275 cm³ and base area is 25 cm².

 

QUESTION 3. If the area of an equilateral triangle is 36√3 sq.m., Find its Perimeter.

QUESTION 4. If the wheel of the bus with 90 cm diameter makes 210 revolutions per minute. Find the speed of

bus in km/hr.

QUESTION 5. The diameter of a road roller, 120 cm long is 84 cm. If it takes 500 complete revolutions to level a playground, find the cost of levelling it at Rs. 2 per square metre.

 

 

QUESTION 6. How many lead balls, each of radius 1 cm, can be made from a sphere of radius 8 cm?

 

 

QUESTION 7. The volume of a rectangular slower of stone is 10368 dm3 and is dimensions are in the ratio of 3:2:1. (i) Find the dimensions (ii) Find the cost of polishing its entire surface @ Rs. 2 per dm2 .

 

 

 

QUESTION 8. The inner diameter of a cylindrical wooden tripe is 24 cm. and its outer diameter is 28 cm. the length of wooden tripe is 35 cm. find the mass of the tripe, if 1 cu cm of wood has a mass of 0.6 g.

 

 

 

QUESTION 9. A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball

 

 

QUESTION 10. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find it volume. If 1cm³ wheat cost is Rs 10, then find total cost.

 

 

 

QUESTION 11. A wall of length 10 m is to be built across an open ground. The height of the wall is 5 m and thickness of the wall is 42 cm. If this wall is to be built with bricks of dimensions 42 cm x 12 cm x 10 cm, then how many bricks would be required ?

 

 

 

QUESTION 12.The diameter of a roller is 42 cm and its length is 120 cm. It takes 500 complete revolutions to move once to land a playground. Find the area of the playground in m²

 

 

QUESTION 13. Curved surface area of cylindrical reservoir 12 m deep is plastered from inside with concrete mixture at the rate of Rs 15 per m². If the total payment made is of Rs 5652, then find the capacity of this reservoir in litres.

 

 

QUESTION 14. A semicircular sheet of metal of radius 14 cm is bent to form an open conical cup. Find the capacity of the cup.