Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 9)
9.
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
49 m2
50 m2
53.5 m2
55 m2
Answer: Option
Explanation:
Area of the wet surface = [2(lb + bh + lh) - lb]
= 2(bh + lh) + lb
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m2
= 49 m2.
Discussion:
40 comments Page 2 of 4.

Rakhshanda Khan said:   1 decade ago
1.25 is height and 6 m is length of the tank. So we must take whole 6 m length while we are calculating it. Because whole lower most part of the tank is wet. That's why we are taking whole 6 m.

Punit said:   1 decade ago
Is it a cuboid ..? because 2(lb+bh+lh) is the formulae of a surface area of cuboid. I didnt get why are we subtracting lb from it ? Can anyone help me out with an pictorial diagram ?

Murali Krishna R said:   1 decade ago
We have 5 wet sides i.e., complete bottom portion (6mx4m = 24m2) and four walls (6mx1.25mx2 sides = 15m2 and 4mx1.25mx2 sides = 10m2).

Totally = 24+15+10 = 49m2.

Narinder said:   9 years ago
@Vyom:

Question is just about the wet area. If there is any question regarding total height then it Total length or something should be mentioned accordingly.

Amrit said:   1 decade ago
Just imagine that the cuboid is full but the upper surface was empty

So we have to minus that part and take the l=6,b=4,h=1.25

I think now you got it.

Ashwini said:   1 decade ago
@kittu : [2(lb + lh + bh)] - (upper most surface of water)[lb]
2lb + 2lh + 2bh - lb
2(bh + lh) + lb

hope ya gt it..!!

Kanna29 said:   3 years ago
@All.

Here, The uppermost surface also has some specific height. Then why everyone not considering it , just multiple l*b and not h?
(2)

Mohammad Asif said:   3 years ago
@All.

It should be clearly given that tha water filling height is measured from top or bottom of the container.

Am I right?
(8)

Rahul said:   1 decade ago
Confusion
the part that is not wet might also contain some height so why only LB
H should be included i think so?
Plz explain

Gowsank said:   1 decade ago
The question is about wet surface area, then why do they subtract the lb. ?or they are asking about the wall surface alone.


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