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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.

Q 1 - The length, expansiveness and tallness of a cuboid are in the proportion 6:5:4 and its entire surface region is 33300 cm². Its volume is:

A - 45000 cm³

B - 405000 cm³

C - 455000 cm³

D - information deficient

Answer : B

Explanation

Let length = 6x cm, breadth = 5x cm and height = 4x cm
Whole surface area = 2(lb+ bh + lh)
=2 (6x*5x + 5x *4x + 6x *4x) cm² = (148x²) cm²
∴148x²= 33300 ⇒x² = 225 ⇒x = √225 = 15 cm
∴L= 90 cm   , B= 75 cm and h= 60 cm
∴Volume = (L*b*h) = (90*75*60) =405000cm³

Q 2 - A rectangular water tank is open at the top. Its ability is 24m³. Its length and broadness are 4m and 3m separately. Overlooking the thickness of the material utilized for building the tank, the aggregate expense of painting the internal and external surfaces of the tank at Rs 10 for every m², is:

Answer : D

Explanation

Let the depth of the tank be x meters. Then, 4*3*x = 24 ⇒x =2m
Area of the surface to be painted = 2* [{2*(L+b)*h} + (L*b)}]
= 2*[2*(4+3)*2+ (4*3)] m²= 80m²
Cost of painting = (80*10) = 800 Rs.

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 - Water streams into a tank 200m *150m through a rectangular funnel 1.5m*1.25m at the rate of 20 kmph. In what the reality of the situation will become obvious eventually water rise By 2 meters?

Answer : D

Explanation

Volume of the water flown in the tank= (200*150*2) m³= 60000m³
Volume flown per hour = (3/2*125/100*20*1000) m³=37500m³
Time taken = 60000/37500 = 8/5 hrs = (8/5*60) min. = 96 min.

Q 5 - The aggregate surface zone of a solid shape is 150 cm². Its volume is:

Answer : B

Explanation

6a²=150 ⇒a²= 25 ⇒a =5cm
Volume of the cube = a³= (5*5*5) cm³= 125cm³

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

Answer : D

Explanation

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

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:

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?

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 bended surface region and the aggregate surface zone of a barrel are in the proportion 1:2. In the event that the aggregate surface territory of the barrel is 616 cm², then its volume:

Answer : A

Explanation

2πrh/2πr (h+r) =1/2⇒ h/(h+r)=1/2 ⇒2h= h+r⇒h=r
2πr (h+r) = 616 ⇒2πr*2r= 616 ⇒πr²= 154
⇒22/7*r²=154 ⇒   r² = (154*7/22) =49
⇒   r = 7cm and h= 7cm
∴ Volume of cylinder = πr²h = (22/7*7*7*7) cm³= 1078 cm³

Q 10 - If the sweep of circle is 6cm, then its volume is:

Answer : A

Explanation

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

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