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 2 of 8.

Subash chander said:   5 years ago
Roof + ceiling area = 4 side walls.

W.k.t area of rectangle l x b.

(12 x 15) + (12 x 15)= 12h + 15h + 12h + 15h.
2(12 x 15) = 2(12h + 15h).
2(12 x 15) = 2h(12+15).
2(12 x 15)
----------------- = h
2 x 27

Volume = LBH.
L=15 b=12 and h is 54.
Then, Volume= 1200.
(8)

Kishore said:   5 years ago
@Shahid.

You gave a useful stuff, thanks.

Sagar mallik said:   6 years ago
Thanks all for the explanation.

Loki said:   6 years ago
Thanks all for explaining.

Dashi said:   6 years ago
Please anyone explain me to understand this problem.

Revanth said:   7 years ago
Thanks for the answer @Jay R.

AARUSH said:   7 years ago
Thanks @Sonu.

Jay-r said:   7 years ago
Simple formula,

h= (l * b) / (l + b) thus,
h= (15 x 12) / (15 + 12)
h= (180) / (27),
h= 180/27.

Volume of rectangle = l * b * h
= 15 x 12 x 180/27,
= 1200 cubic meter.
(1)

Jagruti said:   7 years ago
Thanks. @Sonu.

Manoj said:   7 years ago
Floor Area = 15 x 12 = 180 m.
Ceiling Area = 15 x 12 = 180 m.

Sum of Floor & Ceiling Area = 180 + 180 m = 360 m
- now,in the question "f the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls." it means ,
360+360 = 720.

Please, help me to get it.
(2)


Post your comments here:

Your comments will be displayed after verification.