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.

Reshma said:   1 decade ago
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.

Ajith kumar said:   1 decade ago
Well not exactly. A ceiling is an overhead interior surface of a room that conceals the underside of the floor or roof structure above.

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)

Prashant said:   9 years ago
Ceiling mean portion lies above floor i.e. roof so the area of floor equal to area of ceiling (l*h).

Chinmaysethi said:   1 decade ago
What is the formula for calculating the area of 4 walls? Is it root l square +b square+ h square?

Ashwini pujary said:   1 decade ago
Why but we are using different formula will you explain how does 2(b+l)h has been executed?

Saisowjanya.uriti said:   9 years ago
I think there is no need to take 2 (l+b). But why we consider that? Can anybody explain.

Geethu said:   1 decade ago
2(15*12)=2(lh+bh)
=2h(l+b)
15*12 = h(15+12)
h=(15*12)/(15+12)=180/27

Yuri said:   1 decade ago
@ akansha ceiling means top wall, and hence its area is always equal to floor.

A. Rishikesh said:   8 years ago
Easy to understand now with the help of given explanation, Thank you all.


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