#### Mensuration Model Question Paper

9th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 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. If the sides of a triangle are 3 cm, 4 cm and 5 cm, then the area is

(a)

3 cm2

(b)

6 cm2

(c)

9 cm2

(d)

12 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. If the ratio of the sides of two cubes are 2:3, then ratio of their surface areas will be

(a)

4 : 6

(b)

4 : 9

(c)

6 : 9

(d)

16 : 36

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. 7 x 2 = 14
7. Find the area of an equilateral triangle whose perimeter is 150 m.

8. Find the area of a quadrilateral whose sides are PQ = 15 cm, QR = 8 cm, RS = 25 m.

9. Acuboid has total surface area of 40m2 and its lateral surface area is 26 m2, Find the area of its base.

10. Find the surface 'area of a cube whose edge is
(i) 27 cm
(ii) 3 cm
(iii) 6 cm
(iv) 2.1 cm

11. Find the volume of a cube whose surface are is a 96 cm2.

12. How many 3 metre cubes can be cut from a cuboid measuring 18 m x 12 m x 9 m?

13. The outer dlmensions of a closed wooden box are 10 cm by 8 cm by 7 cm, Thickness of the wood is 1 cm3. Find the total cost of wood required to make box if 1 cm3 of wood costs Rs.2.00?

14. 7 x 3 = 21
15. Find the TSA and LSA of a cuboid whose length, breadth and height are 7.5 m, 3 m and 5 m respectively.

16. A closed wooden box is in the form of a cuboid. Its length, breadth and height are 6 m, 1.5 m and 300 cm respectively. Find the total surface area and cost of painting its entire outer surface at the rate of $\triangle$50 per m2.

17. cube has the total surface area of 486 cm2. Find its lateral surface area.

18. Two identical cubes of side 7 cm are joined end to end. Find the total surface area and lateral surface area of the new resulting cuboid.

19. The dimensions of a sweet box are 22 cm × 18 cm × 10 cm. How many such boxes can be packed in a carton of dimensions 1 m × 88 cm × 63 cm?

20. Find the volume of cube whose side is 10 cm.

21. A cubical tank can hold 64,000 litres of water. Find the length of its side in metres.

22. 2 x 5 = 10
23. Find the area of a quadrilateral ABCD whose sides are AB = 8cm, BC = 15 cm, CD = 12 cm, AD = 25 cm and = 90°.

24. 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.