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 3 of 4.

Kittu said:   1 decade ago
Total Surface[2(lb + lh + bh)] - (upper most surface of water)[lb]
tis concept is clear bcoz water is not touching surface of tank
but i m not getting why 2(bh + lh) + lb this step is used.. specialy (+ lb)

Ankita Sood said:   1 decade ago
Because it is not full till the top

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.

Vishnu said:   1 decade ago
Its because the other side (top surface) won't get wet.

Sam said:   1 decade ago
Otherwise use 2*6*1.25+2*4*1.25+6*4= 49.

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 ?

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.

Roshan said:   1 decade ago
Why cuboid? is it not a cylinder?

Fainaz said:   1 decade ago
Because all the answers are in "meter square". If its cylinder then it will be in meter cube.

Nitya said:   1 decade ago
Let me explain.

Consider a water tank with half of the water .
Now the inner surface of the water tank will get wet but not the of waster(upper most surface of water on which things float)
So we need to deduct that part (area of that part) from total surface of Cuboid
hence .

Total Surface[2(lb + lh + bh)] - (upper most surface of water)[lb]

@Fainaz : when we calculate area the unit is "met Sqr" nad when we calculate Volume the unit is "met cube". It has noyhing to do with Cuboid or Cylinder.

@Roshan : we need to consider it Cuboid bcoz they have written "6m long and 4 m". if It is Cylinder , they might have given diameter ... got it ;)


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