Mensuration (Part-6)

11. The length of a rectangular shaped park exceeds its breadth by 15 m. If the perimeter of the park is 110 m, find the length of the park (in m). [SSC CHSL 09/07/2024 (1st Shift)]

(a) 35
(b) 40
(c) 25
(d) 20

Correct Answer: (a) 35

Solution:

12. If the lateral surface area of a cube is 144 cm², then find its volume. [SSC CHSL 09/07/2024 (1st Shift)]

(a) 864 cm³
(b) 1728 cm³
(c) 117.58 cm³
(d) 216 cm³

Correct Answer: (d) 216 cm³

Solution:

13. If the areas of three adjacent faces of a cuboid are 5 cm², 15 cm², 27 cm², pectively, the surface area of the cuboid is: [SSC CHSL 09/07/2024 (1st Shift)]

(a) 75 cm²
(b) 47 cm²
(c) 45 cm²
(d) 94 cm²

Correct Answer: (d) 94 cm²

Solution:

14. A closed cylindrical tank of radius 1.5 m and height 3 m is made from a sheet of metal, how much sheet of metal is required to do it ? [SSC CHSL 09/07/2024 (2nd Shift)]

(a) 42.24 square metre
(b) 24.24 square metre
(c) 42.42 square metre
(d) 24.42 square metre

Correct Answer: (c) 42.42 square metre

Solution:

15. Two cubes have their volumes in the ratio 1:125. Find the ratio of their surface areas. [SSC CHSL 09/07/2024 (2nd Shift)]

(a) 1:125
(b) 1:25
(c) 1:5
(d) 25:1

Correct Answer: (b) 1:25

Solution:

16. If the radius of the base and slant height of the cone is 6 cm and 10 cm, respectively, then the volume of the cone is equal to: [SSC CHSL 09/07/2024 (3rd Shift)]

(a) 108 π cm³
(b) 98 π cm³
(c) 106 π cm³
(d) 96 π cm³

Correct Answer: (d) 96 π cm³

Solution:

17. Find the number of paper balls, each 2 cm in diameter, that can be made from a sphere of diameter 18 cm. [SSC CHSL 09/07/2024 (4th Shift)]

(a) 1020
(b) 484
(c) 625
(d) 729

Correct Answer: (d) 729

Solution:

18. A cuboidal water purifier can carry 10 litres of water. Its breadth is 1/5 of its heights and length is 1/3 of the sum of the breadth and length. The heights of the tank is: [SSC CHSL 10/07/2024 (1st Shift)]

(a) 20 cm
(b) 10 cm
(c) 80 cm
(d) 50 cm

Correct Answer: (d) 50 cm

Solution:

19. A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to: [SSC CHSL 10/07/2024 (2nd Shift)]

(a) 1:4
(b) 1:64
(c) 1:8
(d) 1:16

Correct Answer: (a) 1:4

Solution:

20. The curved surface area of a right circular cone is 20 cm². If its radius is 4 cm, then find the volume of cone. [SSC CHSL 10/07/2024 (2nd Shift)]

(a) 21 π cm³
(b) 20 π cm³
(c) 16 πcm³
(d) 18 π cm³

Correct Answer: (c) 16 πcm³

Solution:

Mensuration (Part-6)

11. The length of a rectangular shaped park exceeds its breadth by 15 m. If the perimeter of the park is 110 m, find the length of the park (in m). [SSC CHSL 09/07/2024 (1st Shift)]

12. If the lateral surface area of a cube is 144 cm², then find its volume. [SSC CHSL 09/07/2024 (1st Shift)]

13. If the areas of three adjacent faces of a cuboid are 5 cm², 15 cm², 27 cm², pectively, the surface area of the cuboid is: [SSC CHSL 09/07/2024 (1st Shift)]

14. A closed cylindrical tank of radius 1.5 m and height 3 m is made from a sheet of metal, how much sheet of metal is required to do it ? [SSC CHSL 09/07/2024 (2nd Shift)]

15. Two cubes have their volumes in the ratio 1:125. Find the ratio of their surface areas. [SSC CHSL 09/07/2024 (2nd Shift)]

16. If the radius of the base and slant height of the cone is 6 cm and 10 cm, respectively, then the volume of the cone is equal to: [SSC CHSL 09/07/2024 (3rd Shift)]

17. Find the number of paper balls, each 2 cm in diameter, that can be made from a sphere of diameter 18 cm. [SSC CHSL 09/07/2024 (4th Shift)]

18. A cuboidal water purifier can carry 10 litres of water. Its breadth is 1/5 of its heights and length is 1/3 of the sum of the breadth and length. The heights of the tank is: [SSC CHSL 10/07/2024 (1st Shift)]

19. A cube of edge 4 cm is cut into cubes each of edge of 2 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to: [SSC CHSL 10/07/2024 (2nd Shift)]

20. The curved surface area of a right circular cone is 20 cm². If its radius is 4 cm, then find the volume of cone. [SSC CHSL 10/07/2024 (2nd Shift)]

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