This set of Aptitude Questions and Answers (MCQs) focuses on “Volume and Surface Area – Set 3”.

1. How many cubes each of length 2 cm can be accommodated in a cube of side 10 cm?

a) 135

b) 150

c) 125

d) 115

View Answer

Explanation: Given,

Length of bigger cube = 10 cm

Volume of bigger cube = (10 cm)

^{3}

= 1000 cm

^{3}

Length of smaller cube = 2 cm

Volume of smaller cube = 8 cm

^{3}

Number of cubes = Volume of bigger cube / Volume of smaller cube

= 1000 / 8

= 125

2. If the side of a cube is increased to two times, then the surface will become how many times?

a) 4 times

b) 6 times

c) 8 times

d) 2 times

View Answer

Explanation: Let the original side = s

Original surface area = 6s

^{2}

New side = 2s

New surface area = 6(2s)

^{2}

= 24s

^{2}

Thus, new surface area is four times the original surface area.

3. A cuboid of dimension 5m * 6m * 10m is filled with water. What will be the amount of water (in cubic meter) required to fill two – third of the cuboid?

a) 236

b) 200

c) 215

d) 257

View Answer

Explanation: Given,

Dimensions of cuboid = 5m * 6m * 10m

Volume of water when two – third filled = 2 / 3 l * b * h

= 2 / 3 * 5 * 6 * 10

= 200 m

^{3}

4. What will be the volume of a cylinder of height 7.5 cm and radius as 5.7 cm?

a) 765.83 cm^{3}

b) 625.86 cm^{3}

c) 789.32 cm^{3}

d) 667.73 cm^{3}

View Answer

Explanation: Given,

h = 7.5 cm, r = 5.7 cm

Volume of cylinder = πr

^{2}h

= 22 / 7 * 5.7

^{2}* 7.5

= 765.83 cm

^{3}

5. What will be the curved surface area (in sq. cm) of a cylinder of radius 7 cm and height 15 cm?

a) 586

b) 628

c) 660

d) 556

View Answer

Explanation: Given,

r = 7 cm, h = 15 cm

Curved surface area = 2πrh

= 2 * 22 / 7 * 7 * 15

= 660 cm

^{2}

6. What will be the volume of a spherical vessel of radius as 11 cm?

a) 5289 cm^{3}

b) 5367 cm^{3}

c) 5779 cm^{3}

d) 5577 cm^{3}

View Answer

Explanation: Given,

r = 11 cm

Volume = 4 / 3 πr

^{3}

= 4 / 3 * 22 / 7 * 11

^{3}

= 5577.52 cm

^{3}

7. What will be the curved surface area (in sq. cm) of a hemispherical bowl of radius 9 cm?

a) 509

b) 494

c) 514

d) 529

View Answer

Explanation: Given,

r = 9 cm

CSA of hemisphere = 2πr

^{2}

= 2 * (22 / 7) * 9

^{2}

= 509.14 cm

^{2}

8. What will be the total surface area (in sq. cm) of a hemispherical bowl of radius 7 cm?

a) 434

b) 512

c) 462

d) 542

View Answer

Explanation: Given,

r = 7 cm

TSA of hemisphere = 3πr

^{2}

= 3 * 22 / 7 * 7

^{2}

= 462 cm

^{2}

9. If the radius of a cone is doubled and the slant height is halved, then what will have to the volume?

a) Four times

b) Two times

c) Halved

d) One – fourth time

View Answer

Explanation: Let original radius = r, slant height = l

Original volume = 1 / 3 πr

^{2}l

New radius = 2r, slant height = \(\frac {1}{2}\) l

New volume = 1 / 3 π(2r)

^{2}l / 2

= 2 / 3 πr

^{2}l

Thus, the new volume is two times the original volume.

10. What will be the total surface area (in sq.cm) of cone of radius 7 cm and slant height 14 cm?

a) 462

b) 492

c) 442

d) 422

View Answer

Explanation: Given,

r = 7 cm, h = 14 cm

TSA = πr (r + l)

= 22 / 7 * 7 * (7 + 14)

= 462 cm

^{2}

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.