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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 of the longest shaft that can be kept in a room 5 m long, 4 m wide and 3 m high, is:
Answer : A
Explanation
Required length = √[(5) 2+(4) 2+(3) 2]=√(25+16)+(9)=√50m =√25*2 m =5√2m
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:
Answer : C
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 - What a portion of a trench 48m long, 16.5 m expansive and 4m profound can be filled by the earth got by burrowing a round and hollow passage of distance across 4m what's more, length 56 m?
Answer : B
Explanation
Volume of the earth dug out as a tunnel = πr2h= (22/7*2*2*56) m3= 704 m3 Volume of the ditch = (48*33/2*4) m3=3168 m3 Required part = 704/3168 = 2/9
Q 4 - A wooden box measures 20cm *12cm*10cm. Thickness of the wood is 1cm. Volume of the wood required to make the case is:
Answer : B
Explanation
External volume = (20*12*10) cm3= 2400cm3 Internal length = (20-2) cm =18cm Internal breadth = (12-2) =10 cm Internal height = (10-2) cm =8cm Internal volume = (18*10*8) cm3= 1440cm3 Volume of wood = (2400-1440) cm3= 960cm3
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 rate increment in the surface zone of a 3D square (cube) when every side is multiplied is:
Answer : C
Explanation
Let each side be a, Then its surface area =6a2 New side =2a, new surface area = 6(2a) 2=24a2 Increase % = (18a2/6a2*100) %= 300%
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:
Answer : C
Explanation
Let each side be a, then, V= a3 New volume = (2a) 3= 8a3= 8V ∴ℏV= 8V⇒ℏ= 8
Q 8 - A funnel of 2 inch measurement fills the water tank in 60 minutes. In the event that the measurement of the funnel is 4inch, in what the reality of the situation will become obvious eventually pipe fills the same tank?
Answer : C
Explanation
r = 1 inch, volume = πr2h= π*1*1*h= πh r =2 inch volume = π (2)2*h= 4πh 4 time water pass at the same time. ∴Rates are 1:4 so, time taken =4:1 ∴ 2nd pipe will take = (1/4*60) = 15 min
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:
Answer : B
Explanation
2πr= 440 ⇒2*22/7*r= 440 ⇒r= (440*7/44) = 70 cm Outer radius = 70cm, inner radius = (70-4) = 66cm Volume of iron = π [(70)2-(66)2*63cm3= (22/7*136*4*63) = 58752 cm3
Q 10 - In the event that the sweep of a circle is multiplied, its surface region will increment by:
Answer : C
Explanation
Let, original radius=r. Then surface area= 4πr2 New radius= 2r. New surface area = 4π (2r) 2= 16πr2 Increase % in surface areas = (12πr2/4 πr2*100) %= 300%