Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 3)
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:
720
900
1200
1800
Answer: Option
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

Video Explanation: https://youtu.be/V8EQ1YIaH74

Discussion:
75 comments Page 3 of 8.

Ann said:   8 years ago
@Erika,

Here four walls does not include the floor and the ceiling which is the top floor. Out of the four walls, sum of the areas of 2 walls which are opposite to each other is length* height+ length*height= 2*length*height.

Similarly, the sum of the areas of the 2 remaining two walls which are opposite to each other is breadth*height+breadth*height=2* breadth*height. So, the sum of areas of 4 walls= 2lh+2bh=2h (l+b). While calculating the area of a wall must consider the height of the wall.

Ankur said:   8 years ago
Thank you for explaining the answer in well and suitable form @Lokesh.

Erika said:   8 years ago
Why isn't an area of four walls equal to 4*l*b?

Geet said:   8 years ago
I cannot understand this! Please, anyone explain it.

Eaj said:   8 years ago
Thanks @Lokesh.

Ramesh said:   8 years ago
Thank for your explanation. @Sonu.

Sudhir said:   8 years ago
I didn't understand this! please explain it clearly.

Avinash Kumar said:   8 years ago
To simplify it, we can separate the equation and calculate the surface area and ceiling area which is 2(15*12)=360 in total. Now as per question, it says that 4 walls have a total area of 360.

Now, we have to find the height of wall. So lets assume height is x.

So as per question, (15*x)+(12*x)+(15*x)+(12*x)=360. (Which is equal to floor + ceiling area)
if we will solve this equation, we will get the height of wall as 20/3.

Now we can find the are of hall by 20*15*20/3 which is equal to 1200.

Ramya said:   8 years ago
Anyone help me to understand this easily?

Sujatha said:   8 years ago
Will anyone help me to getting this?


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