Below you will find **MCQ Questions of Chapter 13 Surface Areas and Volumes Class 10 Maths** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes with answers

1. The base area of the cylinder is 80 sq.cm. If its height is 5cm, then its volume is

(a) 200 cu.cm

(b) 80 cu.cm

(c) 100 cu.cm

(d) 400 cu.cm

► (d) 400 cu.cm

2. A bucket of height 12 cm, has a top and bottom diameter of 40 cm and 20 cm respectively. The cost of tin sheet used for making the bucket at the rate of Rs. 1.20 per dm^{2} will be

(a) Rs. 21.44

(b) Rs 45.50

(c) Rs. 60.45

(d) Rs. 20.67

► (a) Rs. 21.44

3. If the volume of a cube is 343 cm , then its edge is

(a) 9cm

(b) 8cm

(c) 49cm

(d) 7cm

► (d) 7cm

4. The radii of the circular ends of a conical curd container, 6 cm high are 16 cm and 24 cm. The volume of the container in litres will be

(a) 6.75 litres

(b) 8.5 litres

(c) 6 litres

(d) 7.64 litres

► (d) 7.64 litres

5. An open container made up of a metal sheet is in the form of a frustum of a cone of height 8 cm with radii of its lower and upper ends as 4 cm and 10 cm respectively. The cost of the oil at the rate of Rs. 50 per litre, which can completely fill the container, will be

(a) Rs. 45.60

(b) Rs. 76.50

(c) Rs.65.50

(d) Rs.70

► (c) Rs.65.50

6. The ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube is

(a) π : 8

(b) 6 : π

(c) π : 2

(d) 8 : π

► (b) 6 : π

7. If a solid right circular cone of height 24 cm and base radius 6 cm is melted and recast in the shape of a sphere, then the radius of the sphere is

(a) 6 cm

(b) 12 cm

(c) 8 cm

(d) 4 cm

► (a) 6 cm

8. If two solid hemispheres of same base radius ‘x’ cm are joined together along their bases, then the CSA of the new solid formed is

(a) 8πx^{2} cm^{2}

(b) 6πx^{2} cm^{2}

(c) 5πx^{2} cm^{2}

(d) 4πx^{2} cm^{2}

► (d) 4πx^{2} cm^{2}

9. The largest possible sphere is carved out from a cube of 7 cm side. The volume of the sphere will be

(a) 179.66 cm^{3}

(b) 185 cm^{3}

(c) 145 cm^{3}

(d) 125.55 cm^{3}

► (a) 179.66 cm^{3}

10. A cubical block of side 7 cm is surmounted by a hemisphere. The greatest diameter of the hemisphere is

(a) 3.5cm

(b) 14cm

(c) 10.5cm

(d) 7cm

► (d) 7cm

11. A container (open at the top) made up of metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends 8cm and 20 cm respectively. The amount of liquid the container can hold is (Take π = 3.14)

(a) 104.49 l

(b 10.95 l

(c) 12 l

(d) 10.45 l

► (d) 10.45 l

12. A cylinder, a cone and a hemisphere have equal base and height. Find the ratio of their volumes

(a) 1:1:1

(b 2:3:1

(c) 3 :1 :2

(d) 1:2:3

► (c) 3 :1 :2

13. A cone and a cylinder have their heights in the ratio 4: 5 and their diameters are in the ratio 3: 2. The ratio of their volumes will be

(a) 6: 7

(b) 4: 3

(c) 3: 5

(d) 5: 3

► (c) 3: 5

14. The number of lead balls each of radius1 cm, that can be formed from a sphere of radius 8 cm will be

(a) 380

(b) 400

(c) 512

(d) 225

► (c) 512

15. The volume of the cuboid whose length, breadth and height is 12cm, 8cm and 6cm is

(a) 568 cu.cm

(b) 576 cu.cm

(c) 576 sq.cm

(d) 570 cu.cm

► (b) 576 cu.cm

16. The inner dimensions of a closed box are 12cm, 10cm and 8cm. If the thickness of the wood is 1cm, then the capacity f the box is

(a) 1920 cu.cm

(b) 480 cu.cm

(c) 960 cu.cm

(d) 1200 cu.cm

► (c) 960 cu.cm

17. A cylinder, a cone and a hemisphere are of equal base and have the same height. The ratio of their volumes is

(a) 4: 5: 7

(b) 3: 1: 2

(c) 1: 2:3

(d) 3: 2: 1

► (d) 3: 2: 1

18. The material of a cone is converted into the shape of a cylinder of equal radius. If the height of the cylinder is 5 cm, then the height of the cone is

(a) 15 cm

(b) 10 cm

(c) 18 cm

(d) 24 cm

► (a) 15 cm

19. A plumbline is combination of

(a) a hemisphere and a cylinder

(b) a sphere and a cylinder

(c) a hemisphere and a cone

(d) a cone and a cylinder

► (c) a hemisphere and a cone

20. The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 cm. The length of the wire is

(a) 36 cm

(b) 18 cm

(c) 66 cm

(d) 12 cm

► (a) 36 cm

21. A largest sphere is carved out of a cube of side 7cm. The volume of the sphere is

(a) 176.42 cu.cm

(b) 180.5 cu.cm

(c) 179.67 cu.cm

(d) 182 cu.cm

► (c) 179.67 cu.cm

22. The edge of the cube whose volume is 1728cm is

(a) 17cm

(b) 12cm

(c) 18cm

(d) 72cm

► (b) 12cm

23. A mason constructs a wall of dimensions 270 cm x 300 cm x 350 cm with the bricks each of size 22.5 cm x 11.25 cm x 8.75 cm and it is assumed that 1/8 space is covered by the mortar. Then the number of bricks used to construct the wall is

(a) 11100 cm

(b) 11200 cm

(c) 11000 cm

(d) 11300 cm

► (b) 11200 cm

24. If the surface area of the sphere is same as the CSA of a right circular cylinder whose height and diameter are 12cm each, then the radius of the sphere is

(a) 12cm

(b) 8cm

(c) 6cm

(d) 3cm

► (c) 6cm

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Surface Areas and Volumes MCQ Questions** will help you in practising more and more questions in less time.