# 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 region of the base of a rectangular tank is 6500 cm2 and the volume of the water contained in it in 2.6 cubic meter. The profundity of the water in the tank is:

A - 2.5 m

B - 3 m

C - 5.5 m

D - 4 m

### Explanation

```L*b= 6500cm2 , L*b*d=2.6m3=(2.6*100*100*100) cm3
∴ d = (2.6*100*100*100)/6500 cm = (2.6*100*100*100)/6500*100 = 4m
∴ Depth = 4m```

Q 2 - An open box is comprised of a metal. It is 50cm long, 40cm expansive and 23 m high. The thickness of the metal is 3cm. In the event that 1 cubic cm of the metal weighs 0.5 gm, then what is the heaviness of the void box?

A - 6.832 kg

B - 7.576 kg

C - 7.16 kg

D - 8.04 kg

### Explanation

```Volume of metal = [(50*40*23)-(44*34*20)]c m3
= 46000-29920=   16080 cm3
Weight of metal = (16080*5/10*1/1000) kg = 8.04 kg
Weight of the empty box = 8.04 kg```

Q 3 - If the territory of three adjoining countenances of a cuboid is x, y, z separately, At that point the volume of the cuboid is:

A - xyz

B - 2xyz

C - √xyz

D - 3√xyz

### Explanation

```Let the length of cuboid = L, Breadth = b and height = h
Lb=x, bh= y and Lh= z
∴ xyz = L2b2h2⇒Lbh = √xyz ⇒volume =√xyz.```

Q 4 - The surface territory of a (10cm *4cm*3cm) block is:

A - 84 cm2

B - 124 cm2

C - 164 cm2

D - 180 cm2

### Explanation

```Here L =10 cm, b= 4 cm, h = 3cm
Surface area = 2(Lb+bh+Lh)
= 2(10*4+4*3+10*3) cm2 = 2*82 = 164cm2```

Q 5 - If every side of a solid shape is multiplied, then its volume:

A - is multiplied

B - get to be 4 times

C - gets to be 6 times

D - Gets to be 8 times

### Explanation

```Let the edge of the original cube be x. Then its volume = x3
New edge = 2x, new volume (2x) 3=8x3
So, it?s become 8 times.```

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

### 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

### Explanation

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

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

### 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 - A empty greenery enclosure roller 63cm wide with a circumference of 440 cm is made of iron 4 cm thick. The volume of the iron utilized is:

A - 56372 cm3

B - 58752 cm3

C - 54982 cm3

D - 57636 cm3

### Explanation

```2πr= 440 ⇒2*22/7*r= 440 ⇒r= (440*7/44) = 70 cm
Volume of iron = π [(70)2-(66)2*63cm3= (22/7*136*4*63)
= 58752 cm3```

Q 10 - If the radii of the two circles are in the proportion 1:4, then their surface regions will be in the proportion?

A - 1:32

B - 1:16

C - 1:8

D - 1:4

```Let their radii be rand 4r.