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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 - 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 - A corridor is 15m long and 12 m expansive. On the off chance that the aggregate of the zones of the floor and the roof is equivalent to the whole of the ranges of the 4 dividers, the volume of the corridor is:

Answer : C

Explanation

(Lb+Lb) = 2(L+b)*h= 2*Lb = 2(L+b)*h ⇒Lb= (L+b)*h
⇒ (15+12)*h = (15*12) ⇒h = (15*12)/27m = 20/3 m
Volume = (L*b*h) = (15*12*20/3) m³= 1200 m³

Q 4 - A rectangular square 6 cm*12 cm *15 cm is sliced into careful no. of equivalent solid shapes. The slightest conceivable number of blocks will be:

Answer : D

Explanation

Each side of required cube = HCF of 6cm, 12cm, 15cm = 3cm
Volume of given block = (6*12*15) cm³= 1080 cm³
Volume of each cube = (3*3*3) cm³=27cm³
∴ required number of cubes = 1080/27= 40

Q 5 - The region of three contiguous appearances of a cuboid are in the proportion 2:3:4 and its volume is 9000 cm³. The littlest side has a length of:

Answer : B

Explanation

Let the area of the three adjacent faces be 2x, 3x and 4x then,
Lb= 2x, bh= 3x and Lh= 4x
∴ (Lb*bh*Lh) = 24x³ ⇒ (Lbh) ² =(9000) ²= 81000000
⇒x³= 81000000/24= 27000000/8 ⇒x = 300/2= 150
∴ Lb= 300, bh =450 and Lh= 600 and Lbh= 9000
∴ h = 9000/300= 30cm, L= 9000/450 = 20cm, b= 9000/600= 15cm
Smallest side = 15 cm

Q 6 - The aggregate surface zone of 3D square (cube) is 1734 cm² .Its volume is:

Answer : D

Explanation

6a²=1734 ⇒a²=289= (17) ² ⇒a= 17
Volume = a³= (17*17*17) cm³= 4913cm³

Q 7 - A rectangular box measure s inside 1.6 m long, 1m expansive and 60 cm profound. The no. of cubical obstructs each of edge 20 cm that can be pressed inside the crate, is:

Answer : D

Explanation

Required no. = (160*100*60)/ (20*20*20) = 120

Q 8 - A well must be hole that is to be 22.5 m profound and of breadth 7m. The expense of putting the internal bended surface at rs. 30 for each sq. meter are:

Answer : B

Explanation

Here r= 7/2 m and h= 45/2 m
Curved surface area = 2πrh=(2*22/7*7/2*45/2)m²  = 495m²
Required cost = (495*30) = 14850 rs.

Q 9 - The total of the range of base and the tallness of a barrel is 37 m. On the off chance that the aggregate surface region of the chamber is 1628m², then its volume is:

Answer : B

Explanation

Given: (r+h) = 37m
Total surface area = 2πr (h+r)
∴2πr* 37= 1628 ⇒22/7* r= 22 ⇒ r = 7m
h =(37-7)= 30 m
Volume = πr²h= (22/7* 7* 7* 30) m³= 4620 m³

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%

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