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 cm3
Length of smaller cube = 2 cm
Volume of smaller cube = 8 cm3
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 = 6s2
New side = 2s
New surface area = 6(2s)2
= 24s2
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 m3
4. What will be the volume of a cylinder of height 7.5 cm and radius as 5.7 cm?
a) 765.83 cm3
b) 625.86 cm3
c) 789.32 cm3
d) 667.73 cm3
View Answer
Explanation: Given,
h = 7.5 cm, r = 5.7 cm
Volume of cylinder = πr2h
= 22 / 7 * 5.72 * 7.5
= 765.83 cm3
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 cm2
6. What will be the volume of a spherical vessel of radius as 11 cm?
a) 5289 cm3
b) 5367 cm3
c) 5779 cm3
d) 5577 cm3
View Answer
Explanation: Given,
r = 11 cm
Volume = 4 / 3 πr3
= 4 / 3 * 22 / 7 * 113
= 5577.52 cm3
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 = 2πr2
= 2 * (22 / 7) * 92
= 509.14 cm2
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 = 3πr2
= 3 * 22 / 7 * 72
= 462 cm2
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 πr2l
New radius = 2r, slant height = \(\frac {1}{2}\) l
New volume = 1 / 3 π(2r)2l / 2
= 2 / 3 πr2l
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 cm2
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