Mensuration (Part-5)

21. The internal length, breadth and height of a cardboard box are 6 cm, 10 cm and 12 cm, respectively. How many boxes are needed in which cubes whose volume is 2160 cm³ can be packed ? [SSC CHSL 03/07/2024 (1st Shift)]

(a) 6
(b) 5
(c) 3
(d) 4

Correct Answer: (c) 3

Solution:

22. The heights of two cones are in the ratio of 5:3 and their radii are in the ratio 6:5. Find the ratio of their volumes. [SSC CHSL 03/07/2024 (1st Shift)]

(a) 10:5
(b) 13:5
(c) 12:5
(d) 11:5

Correct Answer: (c) 12:5

Solution:

23. If the radius of a sphere is doubled, then the volume of the sphere becomes______times the previous volume. [SSC CHSL 03/07/2024 (1st Shift)]

(a) two
(b) one
(c) eight
(d) four

Correct Answer: (c) eight

Solution:

24. The curved surface area of a right circular cylinder of height 14cm, is 88 cm². Find the total surface area of the cylinder. [SSC CHSL 03/07/2024 (2nd Shift)]

Correct Answer: (b)

Solution:

25. The area of a rectangular field is 3600 m² If the field is 45 m long, what is its perimeter? [SSC CHSL 03/07/2024 (2nd Shift)]

(a) 255 m
(b) 260 m
(c) 250 m
(d) 265 m

Correct Answer: (c) 250 m

Solution:

26. If the surface area of cuboid is 108 m² then find the height of the cuboid, whose length is 6 m and breadth is 3 m. [SSC CHSL 03/07/2024 (2nd Shift)]

(a) 5.5 m
(b) 5m
(c) 4.5m
(d) 4 m

Correct Answer: (d) 4 m

Solution:

27. For a given circle of radius 4 cm, the angle of its sector is 45°. Find the area (in cm²) of the sector. (Use π = 3.14.) [SSC CHSL 03/07/2024 (3rd Shift)]

(a) 7.28
(b) 6.28
(c) 6.18
(d) 7.18

Correct Answer: (b) 6.28

Solution:

28. If the height of a right circular cone is 24 cm and radius of its base is 10.5 cm, then the volume of right circular cone (in cm³) is: Take π = 22/7 [SSC CHSL 03/07/2024 (3rd Shift)]

(a) 2727
(b) 2772
(c) 2277
(d) 2237

Correct Answer: (b) 2772

Solution:

29. If the radius of a sphere is increased by 12 percent, then the volume will be increased by approximately: [SSC CHSL 03/07/2024 (3rd Shift)]

(a) 41.49 percent
(b) 45.49 percent
(c) 40.49 percent
(d) 42.5 percent

Correct Answer: (c) 40.49 percent

Solution:

30. A cylindrical iron rod whose height is twelve times its radius is melted and cast into spherical balls, the radius of each of which is one third of the radius of the cylinder. Find the number of spherical balls. [SSC CHSL 03/07/2024 (4th Shift)]

(a) 243
(b) 198
(c) 224
(d) 212

Correct Answer: (a) 243

Solution:

Mensuration (Part-5)

21. The internal length, breadth and height of a cardboard box are 6 cm, 10 cm and 12 cm, respectively. How many boxes are needed in which cubes whose volume is 2160 cm³ can be packed ? [SSC CHSL 03/07/2024 (1st Shift)]

22. The heights of two cones are in the ratio of 5:3 and their radii are in the ratio 6:5. Find the ratio of their volumes. [SSC CHSL 03/07/2024 (1st Shift)]

23. If the radius of a sphere is doubled, then the volume of the sphere becomes______times the previous volume. [SSC CHSL 03/07/2024 (1st Shift)]

24. The curved surface area of a right circular cylinder of height 14cm, is 88 cm². Find the total surface area of the cylinder. [SSC CHSL 03/07/2024 (2nd Shift)]

25. The area of a rectangular field is 3600 m² If the field is 45 m long, what is its perimeter? [SSC CHSL 03/07/2024 (2nd Shift)]

26. If the surface area of cuboid is 108 m² then find the height of the cuboid, whose length is 6 m and breadth is 3 m. [SSC CHSL 03/07/2024 (2nd Shift)]

27. For a given circle of radius 4 cm, the angle of its sector is 45°. Find the area (in cm²) of the sector. (Use π = 3.14.) [SSC CHSL 03/07/2024 (3rd Shift)]

28. If the height of a right circular cone is 24 cm and radius of its base is 10.5 cm, then the volume of right circular cone (in cm³) is: Take π = 22/7 [SSC CHSL 03/07/2024 (3rd Shift)]

29. If the radius of a sphere is increased by 12 percent, then the volume will be increased by approximately: [SSC CHSL 03/07/2024 (3rd Shift)]

30. A cylindrical iron rod whose height is twelve times its radius is melted and cast into spherical balls, the radius of each of which is one third of the radius of the cylinder. Find the number of spherical balls. [SSC CHSL 03/07/2024 (4th Shift)]

Related Posts