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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 most extreme length of a pencil that can be kept in a rectangular pencil box of measurements 8cm *6cm* 2 cm is:
Answer : C
Explanation
Required length = √[(8)2 +(6)2 +(2)2]=√104 cm =√4*26 =2√26 cm.
Q 2 - In a shower, 5 cm of downpour falls. The volume of water that falls on 2 Hectares of ground are:
Answer : B
Explanation
Volume = (2*10000*5/100) m3=1000 m3
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=?
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 - If the zone of the three adjoining appearances of a cuboidal box is 120 cm2, 72 cm2 and 60 cm2 individually, then the volume of the crate is:
Answer : A
Explanation
Lb= 120, bh= 72 and Lh = 60 ⇒ (Lb*bh*Lh) = 120*72*60⇒ (Lbh) 2= (120*72*60) ⇒ Lbh =√ (12*10*12*6*10*6) = (12*10*6) = 720 ∴ Volume = 720 cm3
Q 5 - The aggregate surface range of a 3D shape is 600 cm2. The length of its corner to corner is:
Answer : B
Explanation
6a2=600 ⇒a2=100⇒a =10 Diagonal = √3a =10 √3
Q 6 - A block of edge 5 cm is cut into 3D squares (cube), each of edge of 1 cm. The proportion of the aggregate surface zone of one of the little 3D shapes to that of the vast 3D square is equivalent to:
Answer : B
Explanation
Required ratio = 6a2: 6b2= a2:b2= (1) 2:(5) 2= 1:25
Q 7 - If the span of a barrel is diminished by half and the stature is expanded by half to frame another chamber, then the volume will be diminished by:
Answer : A
Explanation
Initial volume = πr2h New radius = r/2, new volume = [π*(r/2)2*4] = 1/4 πr2h Required ratio = 1/4 πr2h: πr2h = 1/4:1 = 1:4
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 - The range of a wire is diminished to 33%. In the event that the volume continues as before, then the length of new wire must be how often the first length?
Answer : D
Explanation
Let the original radius = r and original length = h New radius =⅓ r, let new length =H. Then, πr2h= π (⅓r) 2 *H = πr2H/9 ⇒h= H/9 ⇒ H= 9h
Q 10 - If the surface region of two circles is in the proportion 4:9, then the proportion of their volume will be?
Answer : C
Explanation
4πR₁2/4πR₂2 =4/9⇒R₁2/R₂2 =4/9 ⇒ (R₁/R₂)2 = (2/3)2 ⇒R₁/R₂=2/3 Ratio of their volume = (4/3πR₁3)/(4/3πR₂3) = R₁3/R₂3= (R₁/R₂)3=(2/3)3 = 8/27 = 8:27