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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 askew of a cuboid 30 cm long, 24 cm wide and 18 cm is:
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 stream 2m profound and 45m wide is running at the rate of 3 km/hr. The measure of water that keeps running into the ocean every moment is:
Answer : A
Explanation
Speed per minute = (3*1000)/60 m= 50 m Volume of water running per minute= (45*2*50) m3=4500 m3
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:
Answer : C
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 - 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 diagonal of a 3D shape (cube) measures 4√3 cm. Its volume is:
Answer : D
Explanation
√3a= 4√3 ⇒ a= 4 Volume = a3= (4*4*4) cm3= 64cm3
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 - The measurement of the base of a tube shaped drum is 35dm and its tallness is 24 dm. It is brimming with lamp oil. What number of tins each of size 25cm *22cm* 35 cm can be loaded with lamp fuel from the drum?
Answer : D
Explanation
r= 35/2 dm=(35/2*10)cm= 175 cm , h=24 dm = 240cm Volume of drum = (22/7*175*175*240) cm3 =(22*25*175*240) cm3 Volume of a tin = (25*22*35) cm3 Number of tin = (22*25*175*240)/ (25*22*35) = 1200
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 - 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 - If the radii of the two circles are in the proportion 1:4, then their surface regions will be in the proportion?
Answer : B
Explanation
Let their radii be rand 4r. Ratio of their surface areas= 4πr2/4π (4r) 2= r2/16 r2= 1/16= 1:16