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 - The length of the askew of a cuboid 30 cm long, 24 cm wide and 18 cm is:

A - 30 cm

B - 15 √2cm

C - 30 √2 cm

D - 60 cm

Answer : C

Explanation

Length of the diagonal =√ (L 2+ b2+ h2)=  √[ (30)2 +( 24)2+(18)2]
= √ (900+576+324)   =√1800= √900*2
= 30√2 cm

Q 2 - A spread wooden box has the inward measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. The volume of the wood is:

A - 81000 cu. cm

B - 81775 cu.cm

C - 82125 cu.cm

D - none of these

Answer : C

Explanation

Inner volume= (115*75*35) cm3= 301875 cm3
Outer volume = (115+5)* (75+5)*(35+5) cm3
=(120*80*40) cm3= 384000 cm3
Volume of wood = (384000-301875) cm3= 82125 cm3

Q 3 - The measurements of a cuboid are a, b,c units, its volume is V cubic units and its entire surface zone is S sq. units. At that point, 1/V=?

A - S/2(a+b+c)

B - 2/S(1/a + 1/b+ 1/c)

C - 2S(a+b+c)

D - 2S/(a+b+c)

Answer : B

Explanation

1/V =(1/S*S/V) = 2(ab+bc+ca)/s*abc=   2/S(1/a+1/b+1/c)

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 - Two solid shapes have their volumes in the proportion 1:27. The proportion of their surface territories is:

A - 1:3

B - 1:8

C - 1:9

D - 1:18

Answer : C

Explanation

a3/b3= 1/27= (1/3)3⇒ (a/b) 3= (1/3)3⇒a/b=1/3 ⇒b= 3a
S₁/S₂=6a2/6b2= a2/ (3a) 2= a2/9a2= 1/9 = 1:9

Q 7 - A rectangular box measure s inside 1.6 m long, 1m expansive and 60 cm profound. The no. of cubical obstructs each of edge 20 cm that can be pressed inside the crate, is:

A - 30

B - 53

C - 60

D - 120

Answer : D

Explanation

Required no. = (160*100*60)/ (20*20*20) = 120

Q 8 - Water streams out through a round funnel whose inner measurement is 2cm, at the rate of 6 meters for each second into a barrel shaped tank, the range of whose base is 60 cm. By what amount will the level of water ascend in 30 minutes?

A - 2 m

B - 3 m

C - 4 m

D - 5 m

Answer : B

Explanation

Length flown in 30 minutes = (6*60*30) m =   10800 m
r = 1/100m, h = 10800 m
Volume = (π*1/100*1/100*10800) m3
Let the height of the water level be h meters. Then,
π*60/100*60/100*h = π*1/100*1/100*10800
⇒ h = (108/100*5/3*5/3) = 3m

Q 9 - The aggregate surface territory of a strong barrel is 231 cm2. On the off chance that its bended surface zone is two ?third of its aggregate surface zone, then its Volume is:

A - 269.5 cm3

B - 385 cm3

C - 308 cm3.

D - 363.4 cm3

Answer : A

Explanation

(2πrh+2πr2) =231 and 2πrh= 2/3*231= 154
∴154+ 2πr2 =231 ⇒2*22/7*r2= (231-154) =77
⇒r2 = (77*7/44)= 49/4 ⇒ r =7/2 cm
∴2*22/7*7/2*h= 154   ⇒ h= 7cm
∴ Volume = πr2h = (22/7 *7/2 * 7/2 * 7) cm3 = 539/2 =269.5 cm3

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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