CBSE Class 9 Maths Surface Areas and Volumes MCQs Set B with answers available in Pdf for free download. The MCQ Questions for Class 9 Mathematics with answers have been prepared as per the latest syllabus, NCERT books and examination pattern suggested in Standard 9 by CBSE, NCERT and KVS. Multiple Choice Questions are an important part of Term 1 and Term 2 exams for Grade 9 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for NCERT Class 9 Mathematics and also download more latest study material for all subjects

## Surface Areas and Volumes Class 9 MCQ

Class 9 Mathematics students should refer to the following multiple-choice questions with answers for Surface Areas and Volumes in standard 9. These MCQ questions with answers for Grade 9 Mathematics will come in exams and help you to score good marks

### Class 9 Surface Areas and Volumes MCQ Questions with Answers

**1. The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutions to move once over to level a playground. The area of the playground in m ^{2} is:**

(a) 1584 (b) 1284 (c) 1384 (d) 1184

**2. A cylindrical pillar is 50 cm in diameter and 3.5 m in height. The cost of painting its curved surface at the rate of Rs. 12.50 per m ^{2} is:**

(a) Rs. 68.75 (b) Rs. 58.75 (c) Rs. 48.75 (d) Rs. 38.75

**3. The inner diameter of circular well is 3.5m. It is 10m deep. Its inner curved surface area in m ^{2} is:**

(a) 120 (b) 110 (c) 130 (d) 140

**4. In a hot water heating system there is a cylindrical pipe of length 28 m and diameter 5 cm. The total radiating surface area in the system in m ^{2} is:**

(a) 6.6 (b) 5.5 (c) 4.4 (d) 3.4

**5. The curved surface area of a right circular cone of slant height 10 cm and base radius 7 cm is**

(a) 120 cm^{2} (b) 220 cm^{2} (c) 240 cm^{2} (d) 140 cm^{2}

**6. The height of a cone is 16 cm and base radius is 12 cm. Its slant height is**

(a) 10 cm (b) 15 cm (c) 20 cm (d) 8 cm

**7. The curved surface area of a right circular cone of height 16 cm and base radius 12 cm is**

(a) 753.6 cm^{2} (b) 1205.76 cm^{2} (c) 863.8 cm^{2} (d) 907.6 cm^{2}

**8. The curved surface area of a right circular cone of slant height 10 cm and base radius 10.5 cm is**

(a) 185 cm^{2} (b) 160 cm^{2} (c) 165 cm^{2} (d) 195 cm^{2}

**9. The slant height of a cone is 26 cm and base diameter is 20 cm. Its height is **

(a) 24 cm (b) 25 cm (c) 23 cm (d) 35 cm

**10. The curved surface area of a cone is 308 cm ^{2} and its slant height is 14 cm. The radius of its baseis**

(a) 8 cm (b) 7 cm (c) 9 cm (d) 12 cm

**11. A conical tent is 10 m high and the radius of its base is 24 m. The slant height of tent is**

(a) 26 m (b) 28 m (c) 25 m (d) 27 m

**12. The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. The cost of white washing its curved surface at the rate of Rs. 210 per 100 m ^{2} is**

(a) Rs. 1233 (b) Rs. 1155 (c) Rs. 1388 (d) Rs. 1432

## More Questions..................

#### Question: Vertical and horizontal cross-sections of a right circular cylinder are always respectively

- a) rectangle, circle
- b) rectangle, ellipse
- c) square, circle
- d) rectangle, square

**Answer: rectangle, circle**

#### Question: A right cylindrical vessel is full with water. How many right cones having same diameter and height as of right cylinder will be needed to store that water?

- a) 3
- b) 2
- c) 4
- d) 5

**Answer: 3**

#### Question: The area of a trapezium is 28 cm^{2} and one of its parallel sides 6 cm. If its altitude is 4 cm., then its other parallel side is

- a) 8 cm
- b) 6 cm
- c) 4 cm
- d) 9 cm

**Answer: 8 cm**

#### Question: The ratio of the areas of a square to that of a square drawn on its diagonal is

- a) 1 : 2
- b) 1 : 4
- c) 1 : 1
- d) 1 : 3

**Answer: 1 : 2**

#### Question: A man bought a rectangle plot of 144 m length and 64 m width. In exchange for this field he wanted to buy a square field of the same area. Then the side of the square field would be

- a) 96 m
- b) 104 m
- c) 208 m
- d) 406 m

**Answer: 96 m**

#### Question: A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The difference between surface areas of two solids is

- a) 286 cm
^{2} - b) 280 cm
^{2} - c) 284 cm
^{2} - d) None of these

**Answer: ****286 cm ^{2}**

#### Question: Three cubes whose edges are 3 cm, 4 cm and 5 cm respectively are melted without any loss of metal into a single cube. The edge of new cube is

- a) 6 cm
- b) 9 cm
- c) 12 cm
- d) 10 cm

**Answer: 6 cm**

#### Question: If length, breadth and height of rectangular parallelopiped are in ratio 6 : 5 : 4 and total surface area\ is 33,300 m^{2}, then length breadth and height of parallelopiped are in (m)

- a) 90, 75, 60
- b) 90, 75 , 70
- c) 85, 75, 60
- d) 80, 70, 60

**Answer: 90, 75, 60**

#### Question: The radius of the cylinder whose lateral surface area is 704 cm^{23} and height 8 cm, is

- a) 14 cm
- b) 4 cm
- c) 6 cm
- d) 8 cm

**Answer: 14 cm**

#### Question: A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. The volume of the wood, is

- a) 82,125 cu cm
- b) 85,000 cu cm
- c) 80,000 cu cm
- d) 84,000 cu cm

**Answer: 82,125 cu cm**

#### Question: A solid cube is chopped off at each of its 8 corners to create an equilateral triangle with 3 new corners. The 24 corners are now joined to each other by diagonals. How many of these diagonals completely lie inside the cube?

- a) 120
- b) 96
- c) 108
- d) 100

**Answer: 120**

#### Question: Two cubes have volume in the ratio 1 : 27. The ratio of the area of the face of one to that of the other is

- a) 1 : 9
- b) 1 : 3
- c) 1 : 6
- d) 1 : 18

**Answer: 1 : 9**

#### Question: The surface areas of the six faces of a rectangular solid are 4, 4, 8, 8, 18 and 18 square centimetres. The volume of the solid, in cubic centimetres is

- a) 24
- b) 60
- c) 48
- d) 324

**Answer: 24**

#### Question: A rectangle field has its length and breadth in the ratio 5 : 3. Its area is 3.75 hectares. The cost of fencing it at Rs. 5 per meter is

- a) Rs. 4000
- b) Rs. 500
- c) Rs. 1000
- d) None of these

**Answer: Rs. 4000**

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