

MCQOPTIONS
This section includes 99 Mcqs, each offering curated multiple-choice questions to sharpen your Volume & Surface Areas knowledge and support exam preparation. Choose a topic below to get started.
1. |
On decreasing each side of cube by 21%, its surface area decreases by? |
A. | 38.47% |
B. | 37.59% |
C. | 38.95% |
D. | -33.33% |
Answer» C. 38.95% | |
2. |
What will be total cost of polishing curved surface of a wooden cylinder at rate of Rs. 20 per sq.m, if it has 40 cm diameter and 7m height? |
A. | Rs. 480 |
B. | Rs. 384 |
C. | Rs. 352 |
D. | Rs. 176 |
Answer» E. | |
3. |
2 cylinders have their radii into ratio 4:7. If their heights are in the ration of 21:8 then their volumes would be in what ratio? |
A. | 2:3 |
B. | 7:6 |
C. | 6:7 |
D. | 3:2 |
Answer» D. 3:2 | |
4. |
Baskin n Robbin s biggest ice-cream cardboard cone has height of 24 cm and slant height of 25cm. One sheet of cardboard makes 8 such cones. What is area of the sheet? |
A. | 4400 sq. cm |
B. | 6236 sq. cm |
C. | 6000 sq. cm |
D. | 550 sq. cm |
Answer» B. 6236 sq. cm | |
5. |
Suresh wanted to keep volume of his right circular cone shaped cap same, but increase its height to 9 times. By how much should he increase or decrease the radius? |
A. | Increase to 3 times |
B. | Reduce to 1/3rd |
C. | Increase by 18 times |
D. | Reduce to 1/9th |
Answer» C. Increase by 18 times | |
6. |
A solid rubber sphere weighs 6kg when its diameter is 6cm. Using the same material, a hollow sphere is made with outer diameter 18cm and inner diameter 12 cm. What is its weight? |
A. | 114 kg |
B. | 96 kg |
C. | 72.64 kg |
D. | 64 kg |
Answer» B. 96 kg | |
7. |
A sphere with surface area (792/7) sq.m. has a volume ____ |
A. | 7 sq.cm. |
B. | 792 cu.cm. |
C. | 792/7 cu.cm. |
D. | 792 /7 cu.cm. |
Answer» D. 792 /7 cu.cm. | |
8. |
2 cm thick 14 metal plates are kept exactly one above the other. On the top plate a hemisphere of diameter 6cm is kept. This just covers the top plate. What is the volume of the entire object? |
A. | 360 cu.cm. |
B. | 144 cu.cm. |
C. | 81 cu.cm |
D. | 270 cu.cm. |
Answer» E. | |
9. |
Ramesh s bedroom has a rectangular floor. He built the 4 walls of this room in Rs. 24000 at the rate of Rs. 20 per sq. m. What is height of his bedroom if perimeter of the floor is 150m? |
A. | 5 m |
B. | 8 m |
C. | 15 m |
D. | 16 m |
Answer» C. 15 m | |
10. |
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12cm each. The radius of the sphere is. |
A. | 12cm |
B. | 3cm |
C. | 6cm |
D. | 4cm |
Answer» D. 4cm | |
11. |
If the areas of the three adjacent faces of a cuboidal box are 120cm2, 72cm2 and 60cm2 respectively, find the volume of the box. |
A. | 7200 cm |
B. | 720 cm |
C. | 864 cm |
D. | (72) cm |
Answer» C. 864 cm | |
12. |
The number of coins of radius 0.75 cm and thickness 0.2 cm to be melted to make a right circular cylinder of height 8 cm and base radius 3 cm is |
A. | 640 |
B. | 460 |
C. | 500 |
D. | 600 |
Answer» B. 460 | |
13. |
Ajay has 2 cones with him. 1st cone has radius twice the other and height half the other. What is volume ratio of 1st and 2nd cones? |
A. | 2:1 |
B. | 3:4 |
C. | 1:2 |
D. | 4:3 |
Answer» D. 4:3 | |
14. |
Raju has a cone, a hemisphere and a cylinder. They have the same height. Raju immerses them completely in a bucket full of water. What will be ratio of volume of cylinder to cone to hemisphere, if they also have same bases? |
A. | 1:2:3 |
B. | 3:1:2 |
C. | 2:1:3 |
D. | 1:1:1 |
Answer» C. 2:1:3 | |
15. |
Three solid metallic balls of diameter 3cm, 4cm and 5m are melted into a solid sphere. The radius of new sphere is |
A. | 6 cm |
B. | 4 cm |
C. | 3 cm |
D. | 5 cm |
Answer» D. 5 cm | |
16. |
Sam has a solid metal ball with diameter 6cm. He melts it and uses the material for making a solid cylinder. If the diameter of the cylinder is same as the ball, what would its height be? |
A. | 4 cm |
B. | 4.5 cm |
C. | 6 cm |
D. | 8 cm |
Answer» B. 4.5 cm | |
17. |
Paper charge is Rs. 60 per kg. How much expenditure would be there to cover a cube of edge 10m with a paper, if one kg of paper covers 20 sq.m. area? |
A. | Rs. 2250 |
B. | Rs. 3600 |
C. | Rs. 2700 |
D. | Rs. 1800 |
Answer» E. | |
18. |
Ramesh has a rectangular wooden block. P, Q and R are the areas of the three adjacent and contiguous faces of the block. If we denote its volume by S, then which of the following is true for sure? |
A. | S = 2(P+Q+R) |
B. | S = P+Q+R |
C. | S = PQR |
D. | S = (PQR)/2 |
Answer» D. S = (PQR)/2 | |
19. |
A cylinder having radius 1 m and height 5 m, is completely filled with wine. In how many conical flasks can this wine be filled into if the flask radius and height is 50 cm each? |
A. | 50 |
B. | 500 |
C. | 120 |
D. | 160 |
Answer» D. 160 | |
20. |
A steel vessel has a base of length 60 cm and breadth 30 cm. Water is poured in the vessel. A cubical steel box having edge of 30 cm is immersed completely in the vessel. How much will the water rise? |
A. | 7.5 cm rise |
B. | 10 cm rise |
C. | 15 cm rise |
D. | 30 cm rise |
Answer» D. 30 cm rise | |
21. |
Ramesh has a metal cube. He paints all sides of the cube with green color. He divides the cube into smaller cubes of volume 1 cu.m. each. How many of these smaller cubes will not have green color on even one of its sides if the volume of larger cube is 27 cu.m.? |
A. | 9 |
B. | 1 |
C. | 3 |
Answer» C. 3 | |
22. |
When Jaya divided surface area of a sphere by the sphere s volume, she got the answer as 1/18 cm. What is the radius of the sphere? |
A. | 24 cm |
B. | 6 cm |
C. | 54 cm |
D. | 4.5 cm |
Answer» D. 4.5 cm | |
23. |
Dean has a cardboard box whose length, breadth and height are in the ratio 1:2:3. He makes a new box such that the length, breadth and height got increased by 100%, 200% and 200% respectively. How much less is volume of old box than the new box? |
A. | 12 times less |
B. | 16 times less |
C. | 17 times less |
D. | 24 times less |
Answer» D. 24 times less | |
24. |
Two right circular cones of equal curved surface areas have slant heights in the ratio of 3 : 5. Find the ratio of their radii. |
A. | 4 : 1 |
B. | 3 : 5 |
C. | 5 : 3 |
D. | 4 : 5 |
Answer» D. 4 : 5 | |
25. |
If the radius of a sphere is doubled, then what is the ratio of their surface area? |
A. | 1 : 2 |
B. | 2 : 1 |
C. | 1 : 4 |
D. | 4 : 1 |
Answer» D. 4 : 1 | |
26. |
In the cylindrical container, the base radius is 8 cm. If the height of the water level is 20 cm, find the volume of the water in the container. |
A. | 5.6721 l |
B. | 4.0218 l |
C. | 3.8925 l |
D. | 4.97 l |
Answer» C. 3.8925 l | |
27. |
What is the total surface area of a hemisphere of radius r? |
A. | 4 r |
B. | r |
C. | 2 r |
D. | 3 r |
Answer» E. | |
28. |
If a right circular cone hs radius 4 cm and slant height 5 cm then what is its volume? |
A. | 16 cm |
B. | 14 cm |
C. | 12 cm |
D. | 18 cm |
Answer» B. 14 cm | |
29. |
If the radius of cylinder is halved and height is doubled, then what will be the curved surface area? |
A. | increase by 1 |
B. | B. |
C. | C. |
D. | D. |
Answer» C. C. | |
30. |
Surface area of sphere is |
A. | 2 r |
B. | 4 r |
C. | 2 r |
D. | 6 r |
Answer» C. 2 r | |
31. |
A cone with a circular base of radius 5cm and height 12cm has surface area of |
A. | 204cm |
B. | 210cm |
C. | 80cm |
D. | none of above |
Answer» B. 210cm | |
32. |
VPQRS is rectangle based pyramid where PQ = 30cm, QR = 20cm and volume is 2000cm 3;, height is |
A. | 20cm |
B. | 40cm |
C. | 10cm |
D. | 30cm |
Answer» D. 30cm | |
33. |
If a hemisphere has a curved surface area of 175cm 2; its radius is |
A. | 5.28cm |
B. | 3.45cm |
C. | 28.5cm |
D. | 45.3cm |
Answer» B. 3.45cm | |
34. |
Volume of cone with surface area 7cm and height 14cm is |
A. | 120cm |
B. | 160cm |
C. | 180cm |
D. | 200cm |
Answer» D. 200cm | |
35. |
A cone has a circular base of radius 6m and volume 84 m 3;. height of cone is |
A. | 7m |
B. | 6m |
C. | 8m |
D. | 9m |
Answer» B. 6m | |
36. |
Non-right pyramids are called |
A. | Oblique Pyramids |
B. | Tetrahedron based pyramids |
C. | Pentagon based pyramids |
D. | Hexagon based pyramids |
Answer» B. Tetrahedron based pyramids | |
37. |
If water flows from a pipe with height of 5m and diameter of 86mm at rate of 6m/s then volume of water discharged per minute is |
A. | 1942.867 liters |
B. | 2742.867 liters |
C. | 1800 liters |
D. | 1742.867 liters |
Answer» E. | |
38. |
If internal dimensions of wooden box are as 80cm long, 48cm wide, 20cm deep and box is 4cm thick then volume of wood that is to be used in constructing box is |
A. | 250cm |
B. | 19296cm |
C. | 18500cm |
D. | 17050cm |
Answer» C. 18500cm | |
39. |
A rectangular block 6 cm 12 cm 15 cm is cut into exact number of equal cubes. The least possible number of cubes will be |
A. | 6 |
B. | 11 |
C. | 33 |
D. | 40 |
Answer» E. | |
40. |
Ariver 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km per hour. The amount of water that runs into the sea per minute (in cubic metres) is |
A. | 31500 |
B. | 3150 |
C. | 3150000 |
D. | 6300 |
Answer» C. 3150000 | |
41. |
The number of coins, 1.5 cm in diameter and 0.2 cm thick to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm is |
A. | 350 |
B. | 400 |
C. | 450 |
D. | 500 |
Answer» D. 500 | |
42. |
During conversion of a solid from one shape to another, the volume of the new shape will |
A. | increase |
B. | decrease |
C. | remain unaltered |
D. | be doubled |
Answer» D. be doubled | |
43. |
A right circular cylinder of radius r cm and height h cm (h > 2r) just encloses a sphere of diameter |
A. | r cm |
B. | 2r cm |
C. | h cm |
D. | 2h cm |
Answer» C. h cm | |
44. |
The shape of a gilli, in the gilli-danda game, is a combination of |
A. | two cylinders |
B. | a cone and a cylinder |
C. | two cones and a cylinder |
D. | two cylinders and a cone |
Answer» D. two cylinders and a cone | |
45. |
If diameter of a cylinder is 5cm and volume of cylinder is 650cm 3; then height of cylinder is |
A. | 40cm |
B. | 25cm |
C. | 33cm |
D. | 45cm |
Answer» D. 45cm | |
46. |
If a cuboid is 3.2 cm high, 8.9cm long and 4.7 wide then total surface area is |
A. | 170.7cm |
B. | 180cm |
C. | 205.7cm |
D. | 325.8cm |
Answer» B. 180cm | |
47. |
If circular metal sheet is 0.65cm thick and of 50cm in diameter is melted and recast into cylindrical bar with 8cm diameter then length of bar will be |
A. | 24.41cm |
B. | 35.41cm |
C. | 40.41cm |
D. | 30.41cm |
Answer» B. 35.41cm | |
48. |
If a rectangular tank is 21cm long, 13cm wide and 18cm high and contains water up to a height of 11cm then total surface area is |
A. | 1450cm |
B. | 1350cm |
C. | 1200cm |
D. | 1021cm |
Answer» E. | |
49. |
If volume of cylinder is 900cm 2; with height of 20cm then diameter of cylinder is |
A. | 24cm |
B. | 7.57cm |
C. | 9.57cm |
D. | 12.23cm |
Answer» C. 9.57cm | |
50. |
If diameter of cylinder is 8cm and its height is 16cm then volume of cylinder is |
A. | 804.352cm |
B. | 1000cm |
C. | 900cm |
D. | 850cm |
Answer» B. 1000cm | |