Mensuration (Part-5)

31. If the area of a triangle whose base measures 6 cm is 18 cm², then its height is: [SSC CHSL 03/07/2024 (4th Shift)]

(a) 6 cm
(b) 3.1 cm
(c) 9 cm
(d) 2.2 cm

Correct Answer: (a) 6 cm

Solution:

32. The edges of a rectangular box are in the ratio of 3:5:8, and its surface area is 632 cm². [SSC CHSL 04/07/2024 (1st Shift)]

What will be the volume of the box?

(a) 801 cm³
(b) 960 cm³
(c) 990 cm³
(d) 510 cm³

Correct Answer: (b) 960 cm³

Solution:

33. Three solid cubes of metal have sides 6 cm, 8 cm and 10 cm, respectively. They are melted to form a new cube. What is the surface area of this new cube? [SSC CHSL 04/07/2024 (1st Shift)]

(a) 812 cm²
(b) 950 cm²
(c) 915 cm²
(d) 864 cm²

Correct Answer: (d) 864 cm²

Solution:

34. If the diameter of the base and curved surfaced area of a cylinder are 14cm and 352 cm², respectively, then the total surface area of the cylinder is equal to: [SSC CHSL 04/07/2024 (1st Shift)]

(a) 660 cm²
(b) 654 cm²
(c) 760 cm²
(d) 754 cm²

Correct Answer: (a) 660 cm²

Solution:

35. The radius of a sphere is increased by 25%. What is the increase percent in surface area? [SSC CHSL 04/07/2024 (2nd Shift)]

(a) 15.55%
(b) 36.45%
(c) 56.25%
(d) 25.25%

Correct Answer: (c) 56.25%

Solution:

36. What is the curved surface area of cylinder whose radius is 3cm and height is 14cm ? (Take π =22/7) [SSC CHSL 04/07/2024 (2nd Shift)]

(a) 262 cm²
(b) 264 cm²
(c) 263 cm²
(d) 261 cm²

Correct Answer: (b) 264 cm²

Solution:

37. The total surface area of a solid hemisphere of diameter 28 cm is: [SSC CHSL 04/07/2024 (3rd Shift)]

(a) 1848 cm²
(b) 1784 cm²
(c) 1488 cm²
(d) 1648 cm²

Correct Answer: (a) 1848 cm²

Solution:

38. Find the capacity of an overhead cylindrical water tank, in litres, whose radius is 2.1 m and height is 6.3 m. [SSC CHSL 04/07/2024 (3rd Shift)]

(a) 61802
(b) 611726
(c) 87318
(d) 65622

Correct Answer: (c) 87318

Solution:

39. The diameter of a cylinder is 14 cm and its height is 9 cm. Find the total surface area of the cylinder. [SSC CHSL 04/07/2024 (3rd Shift)]

(a) 704 cm²
(b) 714 cm²
(c) 708 cm²
(d) 700 cm²

Correct Answer: (a) 704 cm²

Solution:

40. From a circle, a sector with a central angle of 30° is cut off. If the length of the arc of this sector is 5.5 cm, then find the radius (in cm) of the circle. [Use π = 22/7] [SSC CHSL 04/07/2024 (4th Shift)]

(a) 12
(b) 10
(c) 11
(d) 10.5

Correct Answer: (d) 10.5

Solution:

Mensuration (Part-5)

31. If the area of a triangle whose base measures 6 cm is 18 cm², then its height is: [SSC CHSL 03/07/2024 (4th Shift)]

32. The edges of a rectangular box are in the ratio of 3:5:8, and its surface area is 632 cm². [SSC CHSL 04/07/2024 (1st Shift)]

33. Three solid cubes of metal have sides 6 cm, 8 cm and 10 cm, respectively. They are melted to form a new cube. What is the surface area of this new cube? [SSC CHSL 04/07/2024 (1st Shift)]

34. If the diameter of the base and curved surfaced area of a cylinder are 14cm and 352 cm², respectively, then the total surface area of the cylinder is equal to: [SSC CHSL 04/07/2024 (1st Shift)]

35. The radius of a sphere is increased by 25%. What is the increase percent in surface area? [SSC CHSL 04/07/2024 (2nd Shift)]

36. What is the curved surface area of cylinder whose radius is 3cm and height is 14cm ? (Take π =22/7) [SSC CHSL 04/07/2024 (2nd Shift)]

37. The total surface area of a solid hemisphere of diameter 28 cm is: [SSC CHSL 04/07/2024 (3rd Shift)]

38. Find the capacity of an overhead cylindrical water tank, in litres, whose radius is 2.1 m and height is 6.3 m. [SSC CHSL 04/07/2024 (3rd Shift)]

39. The diameter of a cylinder is 14 cm and its height is 9 cm. Find the total surface area of the cylinder. [SSC CHSL 04/07/2024 (3rd Shift)]

40. From a circle, a sector with a central angle of 30° is cut off. If the length of the arc of this sector is 5.5 cm, then find the radius (in cm) of the circle. [Use π = 22/7] [SSC CHSL 04/07/2024 (4th Shift)]

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