Volume and Surface Area Aptitude Questions and Answers PDF Download

Aptitude Questions and Answers – Volume and Surface Area | Volume and Surface Area MCQ Questions and Answers PDF

Volume and Surface Area Quiz: These are the questions of volume and surface area MCQ Questions/Volume and surface area aptitude questions PDF for students who are preparing various competitive exams, interview etc. We have to upload 30 aptitude questions and answers on volume and surface area are provided below.  You can must remember the formula for volume and surface areas of all the faces. Students can easily solve the Aptitude questions based on volume and surface area by practicing the objective type exercises given below. This is the formula for volume and surface area aptitude questions are given below. Take this formula, You can practice this each questions carefully, this is best way to learn the volume and surface area aptitude questions. At the of the Page you will get volume and Surface area free pdf link download.

Formula for Volume and Surface Area Total surface area of a cuboid = 2[lb + bh + lh] Curved surface area of cylinder = 2πrh Total surface area of a cylinder = 2πr(r + h) Curved surface area of a cone = πrl Total surface area of a cone = πr(r + l) Volume of a cuboid = l × b × h

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Volume and Surface Area Aptitude MCQ Questions

1. The diagonal of a rectangle is sqrt(41) cm.  and its area is 20 sq. cm. The perimeter of the rectangle must be__________

1. 20 cm
2. 18 cm
3. 9 cm
4.  41 cm

Answer: 18 cm

2. How many cubes of 3cm edge can be cut out of a cube of 18cm edge____________

1. 216
2. 36
3. 232
4. 484

Answer: 216

3. The surface area of a cube is 1734 sq. cm. Find its volume__________

1. 3478 cubic.cm
2. 4913 cubic.cm
3. 2334 cubic.cm
4. 3356 cubic.cm

Answer: 4913 cubic.cm

4. How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m ______

1. 600
2. 5600
3. 7200
4. 6400

Answer: 6400

5. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 cu.m , then the rise in the water level in the tank will be___________

1. 25 cm
2. 20 cm
3. 35 cm
4. 50 cm

Answer: 25 cm

6. The volume of a wall, 5 times as high as it is broad and 8 times as long as it is high, is 12.8 cu. meters. Find the breadth of the wall__________

1. 30cm
2. 40cm
3. 10cm
4. 20cm

Answer: 40cm

7. Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed__________

1. 786
2. 586
3. 486
4. 686

Answer:  486

8. Find the length of the longest pole that can be placed in a room 12 m long 8m broad and 9m high________

1. 16m
2. 17m
3. 15m
4. 14m

Answer: 17m

9. Find the number of bricks, each measuring 24 cm x 12 cm x 8 cm, required to construct a wall 24 m long, 8m high and 60 cm thick, if 10% of the wall is filled with mortar?

1. 65000
2. 55000
3. 45000
4. 35000

Answer: 45000

10. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is__________

1. 1.1 cm
2. B90 cm
3. 1 dm
4. 1 m

Answer: 1 dm

11. If each edge of a cube is increased by 50%, find the percentage increase in Its surface area_________

1. 150%
2. 175%
3. 125%
4. 110%

Answer: 125%

12. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is____________

1. 1800
2. 900
3. 720
4. 1200

Answer: 1200

13. The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box_____________

1. 9.04kg
2. 8.24kg
3. 8.14kg
4. 8.04kg

Answer: 8.04kg

14. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface____________

1. 60pi sq.m
2. 50pi sq.m
3. 40pi sq.m
4. 70pi sq.m

Answer:  60pi sq.m

15. Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.

1. 3:1
2. 4:1
3. 5:1
4. 2:1

Answer: 3:1

16. A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. Find the least possible number of cubes.

1. 40
2. 30
3. 20
4. 10

Answer: 40

17. The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height_________

1. 7 : 6
2. 3 : 7
3. 7 : 3
4. 6 : 7

Answer: 7 : 3

18. Find the  surface area of a cuboid 16 m long, 14 m broad and 7 m high_________

1. A868 sq.cm
2. 727 sq.cm
3. 900 sq.cm
4. 920 sq.cm

Answer: 868 sq.cm

19. Find the surface area of a10cm x 4cm x 3cm brick___________

1. 164
2. 84
3. 124
4. 180

Answer: 164

20. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is__________

1. 15 pi cub.cm
2. 12 pi cub.cm
3. 16 pi cub.cm
4. 20 pi cub.cm

Answer: 12 pi cub.cm

21. If the volume of the cube is 729 cm3, then the surface area of the cube will be_____

1. 446 sq.cm
2. 476 sq.cm
3. 486 sq.cm
4. 456 sq.cm

Answer: 486 sq.cm

22. How many cubes of 10cm edge can be put in a cubical box of 1m edge_______

1. 10000
2. 1000
3. 10
4. 100

Answer: 1000

23. The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side___________

1. Rs.876
2. Rs.962
3. Rs.672
4. Rs.546

Answer: Rs.876

24. How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

1. 6400
2. 6000
3. 5600
4. 7200

Answer: 6400

25. A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be_________

1. 30
2. 9
3. 6
4. 24

Answer: 24

26. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

1. 462 sq.cm
2. 342.36 sq.cm
3. 498.35 sq.cm
4. 344.35 sq.cm

Answer:  498.35 sq.cm

27. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is__________

1. 36 kg
2. 3.6 kg
3. 3.696 kg
4. 36.9 kg

Answer: 3.696 kg

28. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

1. 3 : 2
2. 2 : 1
3. 27 : 20
4. 25 : 18

Answer: 25 : 18

29. The size of the wooden block is 5 x 10 x 20 cm .How many such blocks will be required to construct a solid wooden cube of minimum size?

1. 16
2. B6
3. 8
4. 12

Answer: 8

30. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is__________

1. 50
2. 49
3. 53.5
4. 55

Answer: 49

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