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Aptitude - Volume and Surface Area - Discussion

@ : Home > Aptitude > Volume and Surface Area > General Questions - Discussion

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"Loneliness is the most terrible poverty."
- Mother Teresa
3. 

A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is:

[A]. 720[B]. 900
[C]. 1200[D]. 1800

Answer: Option E

Explanation:

2(15 + 12) x h = 2(15 x 12)

h = 180 m = 20 m.
27 3

Volume = 15 x 12 x 20 m3 = 1200 m3.
3


Gopal said: (Tue, Mar 15, 2011 08:18:49 AM)    
 
I can not understand the meaning of cube in answer.

Shahid said: (Mon, May 23, 2011 06:14:52 AM)    
 
Here given that

Area of four walls = (area of the base )+(area of ceiling)

As per Surface area of a cuboid we have 2(l+b)*h
Area of base is (l*b)

So from these 2 formula e we get the equation explained in the answer section

Akanksha said: (Thu, Jun 16, 2011 12:59:18 PM)    
 
What is ceiling?

Yuri said: (Sat, Jun 25, 2011 12:26:24 PM)    
 
@ akansha ceiling means top wall, and hence its area is always equal to floor.

Ajith Kumar said: (Tue, Jul 19, 2011 11:52:32 AM)    
 
Well not exactly. A ceiling is an overhead interior surface of a room that conceals the underside of the floor or roof structure above.

Reshma said: (Wed, Sep 28, 2011 08:56:26 PM)    
 
Hello all,

I could not understand the first step of the explanation.

According to this site surface area of cuboid is 2 (lb + bh + lh) sq. units.

Yogarajan said: (Wed, Dec 14, 2011 12:44:37 AM)    
 
Hello, can any one clearly explain the basics of the concept please ?

Summi said: (Mon, Jan 9, 2012 04:03:17 PM)    
 
Hey can any one explain how you got 180/27cm ?

Geethu said: (Wed, Jan 18, 2012 10:43:19 PM)    
 
2(15*12)=2(lh+bh)
=2h(l+b)
15*12 = h(15+12)
h=(15*12)/(15+12)=180/27

Sreelakshmi said: (Thu, Feb 2, 2012 09:52:04 PM)    
 
Please explain this concept with proper steps.

Jordan said: (Wed, Feb 8, 2012 12:04:38 PM)    
 
Here given that

Area of four walls = (area of the base )+(area of ceiling)

Area of base is (l*b)
Area of ceiling is (l*b)
so (area of the base )+(area of ceiling)=2(l*b)

As per Surface area of a cuboid we have 2(l+b)*h
Area of four walls=2(l+b)*h

Jordan said: (Wed, Feb 8, 2012 01:04:27 PM)    
 
Here given that

Area of four walls = (area of the base )+(area of ceiling)

Area of base is (l*b)
Area of ceiling is (l*b)
so (area of the base )+(area of ceiling)=2(l*b)

As per Surface area of a cuboid we have 2(l+b)*h
Area of four walls=2(l+b)*h

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