#### Mensuration Model Question Paper

9th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 02:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is

(a)

60 cm

(b)

45 cm

(c)

30 cm

(d)

15 cm

2. The lateral surface area of a cube of side 12 cm is

(a)

144 cm2

(b)

196 cm2

(c)

576 cm2

(d)

664 cm2

3. The total surface area of a cuboid with dimension 10 cm × 6 cm × 5 cm is

(a)

280 cm2

(b)

300 cm2

(c)

360 cm2

(d)

600 cm2

4. The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is

(a)

75 litres

(b)

750 litres

(c)

7500 litres

(d)

75000 litres

5. The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is

(a)

1000

(b)

2000

(c)

3000

(d)

5000

6. 10 x 2 = 20
7. Using Heron’s formula, find the area of a triangle whose sides are
(i) 10 cm, 24 cm, 26 cm (ii) 1.8 m, 8 m, 8.2 m

8. The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5:12:13, then find the area of the plot

9. An advertisement board is in the form of an isosceles triangle with perimeter 36m and each of the equal sides are 13 m. Find the cost of painting it at Rs.17.50 per square metre.

10. A triangle and a parallelogram have the same area. The sides of the triangle are 48 cm, 20 cm and 52 cm. The base of the parallelogram is 20 cm. Find (i) the area of triangle using Heron’s formula. (ii) the height of the parallelogram

11. Find the area of a quadrilateral ABCD whose sides are AB = 13cm, BC = 12cm, CD = 9cm, AD = 14cm and diagonal BD = 15cm

12. A land is in the shape of rhombus. The perimeter of the land is 160 m and one of the diagonal is 48 m. Find the area of the land.

13. The parallel sides of a trapezium are 15 m and 10 m long and its non-parallel sides are 8 m and 7 m long. Find the area of the trapezium.

14. The dimensions of a cuboidal box are 6 m × 400 cm × 1.5 m. Find the cost of painting its entire outer surface at the rate of Rs.22 per cm2.

15. Find the volume of a cuboid whose dimensions are
(i) length = 12 cm, breadth = 8 cm, height = 6 cm
(ii) length = 60 m, breadth = 25 m, height = 1.5 m
(iii) length = 2 m , breadth = 60 cm, height = 72 cm

16. If the total surface area of a cube is 726 cm2, then find its volume.

17. 5 x 3 = 15
18. The lengths of sides of a triangular field are 28 m, 15 m and 41 m. Calculate the area of the field. Find the cost of levelling the field at the rate of ₹ 20 per m2

19. The sides of a triangular park are in the ratio 9:10:11 and its perimeter is 300 m. Find the area of the triangular park.

20. Find the Total Surface Area and Lateral Surface Area of the cube, whose side is 5 cm.

21. The length, breadth and height of a cuboid is 120 mm, 10 cm and 8 cm respectively. Find the volume of 10 such cuboids.

22. The total surface area of a cube is 864 cm2. Find its volume

23. 2 x 5 = 10
24. Find the area of a quadrilateral ABCD whose sides are AB = 8cm, BC = 15 cm, CD = 12 cm, AD = 25 cm and = 90°.

25. A farmer has a field in the shape of a rhombus. The perimeter of the field is 400 m and one of its diagonal is 120 m. He wants to divide the field into two equal parts to grow two different types of vegetables. Find the area of the field.