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CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration

1.

The perimeter of a triangular ground is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular ground.

2.

A semi circular sheet of metal of diameter 28 cm is bent into an open conical cup. Find the depth and capacity of cup.

3.

The area of an equilateral triangle is . Find its perimeter?

4.

A carpenter has cut a board in the shape of trapezium. if the parallel sides of the trapezium are 28 cm and 12 cm and non parallel sides are 14 cm and 14 cm, find the area of the board.

5.

Three cubes of each side 4 cm are joining end to end. Find the surface area of resulting cuboid.

6.

The diagonals of a rhombus are 24 cm and 10 cm. Find its area and perimeter.

7.

Choose the correct option:  The sides of a triangle are 35cm, 54cm, and 61cm, respectively. The length of its longest altitude is _________.

8.

The sides of a triangular field are 41 m, 40 m and 9 m. Find the number of flower beds that can be prepared in the field, if each flower bed needs space.

9.

A metallic sheet is of the rectangular shape with dimensions 48 cm X 36 cm. From each one of its corners, a square of 8 cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.

10.

Choose the correct option:  The sides of a triangle are 11 cm, 13 cm and 20 cm. The altitude to the longest side is _______.

11.

The radius and height of a cone are 6 cm and 8 cm respectively. Find the curved surface area of the cone.

12.

Curved surface area of a cone is thrice and curved surface area of the other. Slant height of
second cone is thrice the slant height of first. Find ratio of their radii.

13.

A cone of height 24 cm and slant height 25 cm has a curved surface area . Find its volume

14.

A well of 2m diameter is dug 14 m deep on the ground. Find the volume of earth taken out.

15.

Water in a canal, 30 dm wide and 12 dm deep is flowing with a velocity of 20 km per hour. How much area will it irrigate in 30 min. if 9 cm of standing water is desired? (10 dm = 1 meter)

16.

Three metal cubes whose edge measure 3 cm, 4 cm and 5 cm respectively are melted to form a single cube, find its edge.

17.

Find the surface area of a cube whose edge is 11cm.

18.

Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14 cm.

19.

The perimeter of an equilateral triangle is 60m. The area is

A)

    sq m

B)

 sq.m

C)

 sq.m

D)

 sq.m

20.

Find the cost of leveling a ground in the form of a triangle with sides 16 m, 12 m and 20 m at Rs. 4 per sq. meter.

CBSE Class 9 Mathematics Worksheet

Unit 5-Mensuration

Answers

1.

2.

12.12 cm,

3.

24 m

4.

5.

6.

, 52 cm

7.

8.

2000

9.

10.

20 cm

11.

12.

9:1

13.

14.

15.

16.

6 cm

17.

18.

19.
Option D

20.

384

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