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 - An iron shaft is 9 m long, 40 cm wide and 20 cm high. In the event that 1 cubic meter of iron measures 50 kg. What is the heaviness of the bar?

A - 56 kg

B - 48 kg

C - 36 kg

D - 27 kg

Answer : C

Explanation

Volume of beam = (9*40/100*20/100)m3=  18/25m3
Weight of the bean = (18/25*50) kg = 36 kg

Q 2 - A rectangular water store contains 42000 liters of water. On the off chance that the length of store is 6 m and its broadness is 3.5m, then the profundity of the supply is:

A - 2 m

B - 5 m

C - 6 m

D - 8 m

Answer : A

Explanation

Volume of reservoir = 42000 ltr. = 42 cubic mtr.
Let the depth be x mtr. Then,
6*7/2*x =42 ⇒ x = 2 m
∴ Depth =2 m

Q 3 - A rectangular tank measuring (5m*4.5 m*2.1 m) is dove in the focal point of field measuring 13.5m*2.5 m. The earth burrow is spread equitably over the remaining part of the field. What amount is the level of the field raised?

A - 4 m

B - 4.1 m

C - 4.2 m

D - 4.3 m

Answer : C

Explanation

Volume of the earth dugout = (5*9/2*21/10) m3= 189/4 m3
Area of the remaining field = [(27/2*5/2) - (5*9/2)] m2
= (135/4-45/2) m2= 45/4m2
Let the level of the field be raised h meter. Then,
45/4*h = 189/4 ⇒h= 189/45 m =21/5 m =4.2 m

Q 4 - A rectangular tank is 5 m high, 3 m long and 2 m wide. What number of liter of water can be hold?

A - 30000

B - 15000

C - 25000

D - 35000

Answer : A

Explanation

Volume = (500*300*200) cu. Cm =500*300*200/1000 liters= 30000 ltr.

Q 5 - Six equivalent 3D shapes (cube), each of side 10 cm are set adjoining one another. The aggregate surface territory of the cuboid so framed, is:

A - 2400 cm2

B - 2600 cm2

C - 3000 cm2

D - 3600 cm2

Answer : B

Explanation

For the new cuboid, we have
L= (6*10) cm= 60cm, b= 10 cm and h= 10 cm
Total surface area = 2(Lb+bh+Lh)
= 2(60*10+10*10+60*10) cm2= 2600cm2

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 - How numerous 3D squares of 10 cm edge can be placed in a cubic box of 1 m edge?

A - 10

B - 100

C - 1000

D - 10000

Answer : C

Explanation

Required no. = (100*100*100)/ (10*10*10) = 1000

Q 8 - The bended surface of a tube shaped column is 264 m2 and its volume is 924 m3. The proportion of its width to its stature is:

A - 7:3

B - 3:7

C - 7:6

D - 6:7

Answer : A

Explanation

2πrh =264 and πr2h =924
∴πr2h/2πrh=   924/264= 7/2 ⇒r =7 ⇒d= 2r =14m
2*22/7*7*h =264 ⇒h = 264/44= 6
∴ d/h= 14/6=    7/3 = 7:3

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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