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 most extreme length of a pencil that can be kept in a rectangular pencil box of measurements 8cm *6cm* 2 cm is:

A - 2√13 cm

B - 2√14 cm

C - 2√26 cm

D - 10√2 cm

Explanation

Required  length =  √[(8)2 +(6)2 +(2)2]=√104 cm =√4*26
=2√26 cm.

Q 2 - Half cubic meter of gold sheet is stretched out by pounding in order to spread a region of 1 hectare. The thickness of the sheet is:

A - 0.5 cm

B - 0.05 cm

C - 0.005 cm

D - 0.0005 cm

Explanation

Area = 1 hectare= 10000m2, Volume = 0.5 m3
Thickness =Volume/Area   = (0.5/10000)m =(0.5*100/10000)cm=0.005cm

Q 3 - A horticultural field is as a rectangle of length 20m and Width 14m. A pit 6m long, 3m wide and 2.5 m profound is delved in a corner of the field and the earth taken out of the pit is spread consistently over the remaining range of the field. The level of the field has been raised by:

A - 15.16 cm

B - 16.17 cm

C - 17.18 cm

D - 18.19 cm

Explanation

Volume of earth dug out = (6*3*5/2) m3=45 m3
Area of the remaining field =[(20*14)-(6*3)]m2= (280-18)m2=262m2
Let the level of the field raised be h cm. Then,
262*h/100= 45 ⇒ h= (45*100)/262 cm =17.18 cm

Q 4 - A reservoir of limit 8000 liters measures remotely 3.3m by 2.6m by 1.1m and its dividers are 5cm thick. The thickness of the base is:

A - 90 cm

B - 1 dm

C - 1 m

D - 1.1 m

Explanation

Volume of the cistern = 8000ltr. =8000dm3
External length = 33 dm, external breadth =26 dm and external depth = 11 dm
Internal length = (33-5/10*2) dm = 32 dm
Internal breadth = (26-5/10*2) dm = 25 dm
Internal depth = (11-x) dm
∴ 32*25*(11-x) = 8000 ⇒ (11-x) =8000/ (32*25) =10
⇒ x = (11-10) =1dm

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

A - 64 cm3

B - 125 cm3

C - 150 cm3

D - 216 cm3

Explanation

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

Q 6 - A metal 3D square of edge 12cm is liquefied and framed into three littler 3D shape. In the event that the edge of two littler 3D shapes is 6cm and 8 cm. the edge of the third littler solid shape is:

A - 10 cm

B - 14 cm

C - 12 cm

D - 16 cm

Explanation

Let the edge of third smaller cube be a cm. Then,
(6) 3+ (8) 3+a3= (12) 3 ⇒ (216+512) +a3=1728
⇒a3= (1728-728) = 1000= (10) 3⇒a= 10cm
∴ Edge of third smaller cube = 10 cm

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

Explanation

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

Q 8 - A round and hollow has a width of 14cm and the territory of its bended surface is 220 sq. cm. The volume of the chamber is:

A - 770 cm3

B - 1000 cm3

C - 1540 cm3

D - 6622 cm3

Explanation

r = 7cm and 2 πrh  = 220 ⇒2*22/7*7*h = 220 ⇒h = 5 cm
Volume = πr2h (22/7*7*7*5) = 770 cm3

Q 9 - The bended surface zone of a round column is 528m2 and its volume is 2772 m3. The tallness of the column is:

A - 10.5 m

B - 7.5 m

C - 8 m

D - 5.25 m

Explanation

2πrh= 528 and πr2h= 2772
Πr2h/2πrh= 2772/528= 21/4⇒r = (21/4*2) = 21/2 m
∴2*22/7*21/2*h= 528 ⇒h =528/66= 8m

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