Volume Calculation - Online Quiz


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Following quiz provides Multiple Choice Questions (MCQs) related to Volume Calculation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - A rectangular marble stone 28 cm wide and 5 cm thick weighs 112 kg. In the event that 1 cubic cm of marble measures 25 gm, then the length of given stone is:

A - 36 cm

B - 37.5 cm

C - 32 cm

D - 26.5 cm

Answer : C

Explanation

Let the required length be x cm.
Then, its volume = (x*28*5*25/1000) kg = 7x/2 kg
∴ 7x/2= 112 ⇒x= 112*2/7= 32 cm
Required length = 32 cm

Q 2 - In a shower, 5 cm of downpour falls. The volume of water that falls on 2 Hectares of ground are:

A - 100 m3

B - 1000 m3

C - 10000 m3

D - 10 m3

Answer : B

Explanation

Volume = (2*10000*5/100) m3=1000 m3

Q 3 - A swimming shower is 24 m long and 15 m wide. At the point when various men jump into the shower, the tallness of water ascends by 1 cm. On the off chance that the normal volume of water uprooted by every men be 0.1 m3, what number of men arrive in the shower?

A - 32

B - 36

C - 42

D - 46

Answer : B

Explanation

Let there be x man in the bath .Then,
x *0.1= (24*15*1/100) ⇒x*1/10=   24*15*1/100⇒x= 36.

Q 4 - A room is 10 m long, 8m wide and 3.3 m high. What number of men can be obliged in this room if every man requires 3m3 of space?

A - 99

B - 88

C - 77

D - 75

Answer : B

Explanation

Volume of the room = (10*8*3.3) m3= 264m3
Volume required by 1man = 3m3
Required number of men = 264/3 = 88

Q 5 - The region of the card board expected to make a crate size 25 cm* 15cm *8 cm will be:

A - 390 cm2

B - 1390 cm2

C - 2780 cm 2

D - 1000 cm2

Answer : B

Explanation

Area needed = 2(25*15+15*8+25*8) cm2
=2(375+120+200) cm2= 2(695) cm2 = 1390 cm2

Q 6 - The aggregate surface zone of 3D square (cube) is 1734 cm2 .Its volume is:

A - 2197 cm3

B - 2744 cm3

C - 4096 cm3

D - 4913 cm3

Answer : D

Explanation

6a2=1734 ⇒a2=289= (17) 2 ⇒a= 17
Volume = a3= (17*17*17) cm3= 4913cm3

Q 7 - If every side of a 3D square of volume v is multiplied, its volume gets to be ℏv where ℏ is equivalent to:

A - 2

B - 4

C - 8

D - 16

Answer : C

Explanation

Let each side be a, then, V= a3
New volume = (2a) 3= 8a3= 8V
∴ℏV= 8V⇒ℏ= 8

Q 8 - A funnel of 2 inch measurement fills the water tank in 60 minutes. In the event that the measurement of the funnel is 4inch, in what the reality of the situation will become obvious eventually pipe fills the same tank?

A - 30 min.

B - 45 min.

C - 15 min.

D - 10 min.

Answer : C

Explanation

r = 1 inch,  volume = πr2h= π*1*1*h= πh
r =2 inch volume = π (2)2*h= 4πh
4 time water pass at the same time.
∴Rates are 1:4 so, time taken =4:1
∴ 2nd pipe will take = (1/4*60) = 15 min

Q 9 - A chamber and a cone have the same stature and the same sweep of base. The proportion between the volumes of the barrel and the cone is:

A - 1:3

B - 3:1

C - 1:2

D - 2:1

Answer : B

Explanation

Ratio of their volume= πr2h/1/3 πr2h= 3/1 =3:1

Q 10 - The proportion of aggregate surface territory and the parallel surface zone of a chamber whose sweep is 80 cm and stature 20 cm are:

A - 2:1

B - 3:1

C - 4:1

D - 5:1

Answer : D

Explanation

r =80cm and h= 20cm
Total surface area/ lateral surface area = 2πr (h+r)/ 2πrh = (h+r)/h
= (20+80)/20 =100/20 =5:1

aptitude_volume_calculation.htm
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