Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 12)
12.
A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is:
90 cm
1 dm
1 m
1.1 cm
Answer: Option
Explanation:

Let the thickness of the bottom be x cm.

Then, [(330 - 10) x (260 - 10) x (110 - x)] = 8000 x 1000

320 x 250 x (110 - x) = 8000 x 1000

(110 - x) = 8000 x 1000 = 100
320 x 250

x = 10 cm = 1 dm.

Discussion:
49 comments Page 3 of 5.

Kin said:   9 years ago
In the question, it has given that the cistern has the capacity of 8000 litres, which means that the internal volume of the cistern is 8000 litres.
And he has given the thickness of the side walls but not the thickness of the bottom (we have to calculate).
The external side length, breadth, depth as 330cm, 260cm, 110cm. To get internal sides we have to subtract the thickness from external sides. Hence length=330- (2*5) (since we have to consider both sides of the walls).
i.e. l=320cm, b=250cm, d=110-x (since only one bottom is there).

Finally, we have to equal these two volumes to get the required thickness of the bottom.
(4)

Manoj Kumar said:   9 years ago
@Pramod & @Narinder.

Well and correctly said.

Shanaya said:   9 years ago
Thank you so much @Vani Varma.

Narinder said:   9 years ago
@Tejaswini: 1 dm is Decimetre, not diameter.

Abhilasha said:   9 years ago
I am not getting this, Please explain this solution.

Ramesh said:   9 years ago
Nothing I understand, please anyone explain in easy way.

Pramod Kajla said:   9 years ago
@All.

For the better understanding of this question, you have to visualize in 3D (like a cuboid with walls and open at top), then only you will be able to understand the actual concept of question.

Because for inner length and breadth, the thickness will be used from two sides (considerr it as left and right), but for height it will be calculated from one side (consider it as bottom side only), because the cuboidal tank is open from upside (as there will be the four sides of wall and one will be bottom).

Mayawati Chotala said:   10 years ago
Still can't understand why 10? Which both sides are you talking about?

Sikandar said:   1 decade ago
How from the question it is clear that whether it is open at top or not because in solution it is consider only bottom thickness while subtraction.

Sekar agri said:   1 decade ago
@Sarwash.

Thicknes of wall in length and breath, available both side. But in height, only bottom side thickness available.


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