51)

From a rectangular sheet of dimensions 32 cm × 18 cm, a square of side 3 cm is cut from the four corners of the sheet and a box is made. The volume of the box is:

SSC CHSL 2021

A)

936 cm³

B)

1300 cm³

C)

946 cm³

D)

1305 cm³

52)

How many spherical bullets, each bullet being 7 cm in diameter, can be made out of a cube of lead whose edge measures 77 cm? (Take π = 22/7)

SSC CHSL 2021

A)

2451

B)

4521

C)

2541

D)

1452

53)

A solid cube having volume 46656 cm³ is cut into 27 cubes of equal volume. The surface area (in cm²) of the smaller cubes is:

SSC CHSL 2021

A)

864

B)

756

C)

936

D)

921

54)

The total surface area of a solid cube is 4.86 m². It is melted and recast into a right circular cylinder of radius 0.3 m. What is the height (in m) of the cylinder (correct to one decimal place)? Take  \(\pi = \frac{22}{7}\) .

SSC CHSL 2021

A)

2.6

B)

2.8

C)

1.8

D)

3.5

55)

A solid metallic sphere of radius 10 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?

SSC CHSL 2021

A)

100

B)

125

C)

64

D)

216

56)

The volume of a right circular cone is 462 cm³. If its height is 12 cm, then the area of its base (in cm²) is:

SSC CHSL 2021

A)

115.5

B)

124.5

C)

103.5

D)

98.5

57)

How many bricks each measuring 64 cm × 11.25 cm × 6 cm, will be needed to build a wall measuring 8 m × 3 m × 22.5 m?

SSC CHSL 2021

A)

250000

B)

200000

C)

67500

D)

125000

58)

If the volume of a sphere is \(697 \frac{4}{21}\) cm³, then its radius is: (Take π = 22/7)

SSC CHSL 2021

A)

5.5 cm

B)

4.5 cm

C)

6 cm

D)

5 cm

59)

A solid metallic sphere of radius 12 cm is melted and recast in the form of small spheres of radius 2 cm. How many small spheres are formed?

SSC CHSL 2021

A)

96

B)

864

C)

24

D)

216

60)

The square of the diagonal of a cube is 2175 cm². What is the total surface area (in cm²) of the cube?

SSC CHSL 2021

A)

4350

B)

4305

C)

4530

D)

4272