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:
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 7 of 8.
Dashi said:
7 years ago
Please anyone explain me to understand this problem.
Loki said:
7 years ago
Thanks all for explaining.
Sagar mallik said:
6 years ago
Thanks all for the explanation.
Kishore said:
5 years ago
@Shahid.
You gave a useful stuff, thanks.
You gave a useful stuff, thanks.
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.
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)
YASH said:
5 years ago
The solution is wrong as it is said it is equal to the area of the 4 walls so, 4 should be multiplied.
(1)
Surajbhan Singh said:
5 years ago
2*(l*h)+ 2*(b*h)= 2*(l*b).
4 walls area = floor area + ceiling area.
4 walls area = floor area + ceiling area.
(7)
Mapuia sailo said:
4 years ago
Why we using the cuboid formula? Please explain.
Debasish Sethy said:
4 years ago
According to the question,
Sum of areas of floor and the ceilings= 4 walls area sum
Floor area = ceiling area.
Floor area= 12 * 15 = 180.
Therefore 360 = 4 areas of walls.
Floor-length = wall length.
So height of the wall = (360/4)/15= 90/15 = 6m.
the volume of the hall is one type of cuboid.
Therefore volume of cuboid = length * breadth * height.
Volume = 15 * 12 * 6 = 1080 meter cube.
Sum of areas of floor and the ceilings= 4 walls area sum
Floor area = ceiling area.
Floor area= 12 * 15 = 180.
Therefore 360 = 4 areas of walls.
Floor-length = wall length.
So height of the wall = (360/4)/15= 90/15 = 6m.
the volume of the hall is one type of cuboid.
Therefore volume of cuboid = length * breadth * height.
Volume = 15 * 12 * 6 = 1080 meter cube.
(13)
Bhagya kunduru said:
4 years ago
Please explain the concept clearly to understand.
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