Volume Calculation - Online Quiz



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 - What number of blocks will be expected to develop a divider 4 m long, 3 m high and 13 cm expansive , if every block measures 20 cm *12cm*6.5 cm?

A - 500

B - 1000

C - 1500

D - 2000

Answer : B

Explanation

Volume of wall = (400*300*13) cm3
Volume of each bricks = (20*12*6.5) cm3
No. of bricks = (400*300*13 /20*12*13)*2 = 1000

Q 2 - The water in a rectangular supply having a base 80m by 60m is 6.5m profound. In what time can the water be purged by a channel of which the cross-area is a square of side 20 cm, if the water runs through the funnel at the rate of km every hour?

A - 26 hours

B - 42 hours

C - 52 hours

D - 62 hours

Answer : C

Explanation

Volume of water in the reservoir =(80*60*13/2)m3= 31200 m3
Volume of water flown in 1 hour = (15*1000*20/100*20/100) m3
= 600 m3
Time taken = (31200/600) = 52 hrs

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 - If the zone of the three adjoining appearances of a cuboidal box is 120 cm2, 72 cm2 and 60 cm2 individually, then the volume of the crate is:

A - 720 cm3

B - 864 cm3

C - 7200 cm3

D - 5184 cm3

Answer : A

Explanation

Lb= 120, bh= 72 and Lh = 60
⇒ (Lb*bh*Lh) = 120*72*60⇒ (Lbh) 2= (120*72*60)
⇒ Lbh =√ (12*10*12*6*10*6) = (12*10*6) = 720
∴ Volume = 720 cm3

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 - The tallness of a barrel is 14 cm and its width is 10cm. The volume of the barrel is:

A - 1100 cm3

B - 3300 cm3

C - 3500 cm3

D - 7700 cm3

Answer : A

Explanation

Given h= 14cm and r= 5cm
Volume = πr2h = (22/7*5*5*14) = 1100cm3

Q 8 - A divider with 10 m inside diameter is burrowed 14 m profound. Earth taken out of it is spread all around to a width of 5 m to shape a dike. The tallness of the bank is:

A - 2.46 m

B - 3.56 m

C - 4.66 m

D - 5.76 m

Answer : C

Explanation

Volume of the earth dugout = πr2h = (22/7* 5*5*14) m3= 1100m3
Area of embankment = π (R2- r2) = 22/7*[(10)2-(5)2]
= (22/7*75) m2
Let the height of the embankment be h meters. Then,
22/7*75*h = 1100 ⇒h = (1100*7/22*1/75) m = 14/3 m = 4.66m

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 - If the sweep of circle is 6cm, then its volume is:

A - (288π) cm3

B - (388π) cm3

C - (684π) cm3

D - (864π) cm3

Answer : A

Explanation

Volume = {4/3π*(6)3} cm3 = (4/3π*6*6*6) cm3= (288π) cm3
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