Aptitude - Volume and Surface Area - Discussion

2. 

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

[A]. 75 cu. m
[B]. 750 cu. m
[C]. 7500 cu. m
[D]. 75000 cu. m

Answer: Option B

Explanation:

1 hectare = 10,000 m2

So, Area = (1.5 x 10000) m2 = 15000 m2.

Depth = 5 m = 1 m.
100 20

Volume = (Area x Depth) = 15000 x 1 m3 = 750 m3.
20

Video Explanation: https://youtu.be/dDbVuBzYop8


Surabhi Verma said: (Nov 2, 2010)  
Please can you tell me. What is meant by xcm of rainfall and how you calculated depth?

Gutpala said: (Nov 24, 2010)  
How to calculate depth.

Here I didn't understand the method.

Ambi said: (Dec 7, 2010)  
What is the shape of rainfall?

What formulae is used to calculate the surface area.

Kiran said: (Feb 8, 2011)  
How can we measure the rainfall?

Divya said: (Jul 11, 2011)  
After the rain falls on the ground, its height is measured. That is how the rainfal is generally measured.

now, coming to the problem, here, the height is 5cm = 5/100m.

volume=lbh

but area=lb

volume=area*h

hence, volume= 15000*5/100 =750

Sudhir said: (Jul 13, 2011)  
@Divya

Absolutely you are write.

Naveen said: (Aug 2, 2011)  
Divya Thanks for your explanation.

Aymen said: (Sep 27, 2011)  
Thanks divya for your help.

Lucas said: (Nov 17, 2011)  
Can anyone explain this part please?

5cm = 5/100m.

Vishwanath said: (Nov 21, 2011)  
1MT=100CM,SO
5CM=1/100M

Yogendra said: (Nov 25, 2011)  
Thanks very much divya.

Dhaneshwari said: (Jan 5, 2012)  
Please explain what is cu ?

Sundar said: (Jan 30, 2012)  
@dhaneshwari

cu in problem means cubic (i.e. X^3=x*x*x)...

Vani Varma..... said: (Feb 7, 2012)  
Thank you divya.

Lijo Ouseph said: (May 30, 2012)  
Thank you divya, sundar, & vishwanath.

Lee said: (May 14, 2015)  
1000 cm = 1 liter but 1 hectare =10000 liters.

Tanvi Ranta said: (Aug 16, 2015)  
What is cu?

Ranjith said: (Sep 29, 2015)  
1 hector is 10, 000 m2 1.5*10, 000.

0.05*15000.

Sameer said: (Oct 1, 2015)  
5 cm of rain falls means height of the water from the ground so depth is 5 cm and which must be converted into meters because volume should be measured in m^3.

Rajnikanth said: (Mar 9, 2016)  
The volume of water that falls on 1.5 hectares(area) of ground

Conversion
{
1 hectare = 10,000 m^2.

So, Area = (1.5 x 10000) m^2 = 15000 m^2. //converting into meters.
}

5 cm of rain falls -- Depth(height) of the water from ground level.

Depth(height) = 5 cm = 5/100 m

Finding Volume

Considering/assuming ground as cuboid.

Volume = (Length*Breadth)*Height.
= Area * Height.
= 15000*5/100.
= 750 m^3.

Nayan said: (Jun 1, 2016)  
Please tell me the meaning of volume, breadth, and depth with its formula.

Sibi said: (Jun 28, 2016)  
@Rajnikanth.

Thank you so much.

Sanju said: (Jun 29, 2016)  
How to calculate depth? By using which formula I am not getting that method. Can anyone explain me?

Nabin said: (Jul 22, 2016)  
Thanks for explaining the answer @Divya.

Siddhi Viradiya said: (Jul 29, 2016)  
Very clear explanation, Thanks @Divya.

Akhil said: (Aug 2, 2016)  
Thanks for explaining the solution.

Ankit said: (Dec 29, 2016)  
I have a doubt. What is the shape of rainfall?

Can anyone tell me?

Gunjan said: (Dec 31, 2016)  
In a shower, 5 centimetres of rainfall find the volume of water that falls on 2 hectares of land.

Find the answer.

Leo said: (Feb 6, 2017)  
@Gunjan.

1000 cu.m.

Rakesh said: (Mar 5, 2017)  
How can I recognised that volume = area * depth and depth from where found please give me the answer if anybody know?

Rushad said: (Mar 20, 2017)  
Thankyou so much @Divya.

Arpita said: (Apr 3, 2017)  
Thanks for all the given explanation.

Rekha said: (Apr 4, 2017)  
Thanks for all the given explanation.

Ahad said: (Apr 13, 2017)  
Thanks for giving the explanation.

Sougata said: (Apr 27, 2017)  
If the rain is falling vertically.

And the area covered is base then it's forming a right angle tri angle,
So we know v=length * breadth * height.
Also, that length*breadth = area.
So,
V = 15000 * 0.05,
So, v = 750.

Abhishikth said: (May 3, 2017)  
Thank you for the given explanation.

Mr.Mp said: (Aug 26, 2017)  
Centi is 10 power -2 which is 1/100.

Haneesha said: (Oct 11, 2017)  
At last how did it change into metre (cube)?

Manjusha said: (Dec 21, 2017)  
Thanks for the explanations.

Aaradhya said: (Jan 29, 2018)  
Good @Divya.

Arvind said: (Jan 29, 2018)  
cu =cubic meter.

Bharath M S said: (Mar 7, 2018)  
Thanks for the explanation.

Tanveer said: (Feb 16, 2019)  
Volume = l * b * h.

Tanveer said: (Feb 16, 2019)  
Metre^3 is the unit of volume.

B A Naidu said: (Jun 9, 2019)  
Thanks for explaining, @Divya.

Keshav said: (Jun 17, 2019)  
Height is taken 5cm, because the flow rate is assumed constant over the entire surface on which the rain falls.

Ashish Kumar said: (Jun 27, 2019)  
Thanks @Divya.

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