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 1 of 5.

Deepa said:   1 decade ago
Please tell me why you subtracted by 10 in first step.

Priya jain said:   1 decade ago
@deepa
The thickness is given as 5 cm and the dimensions given are external dimensions so in order to get internal dimension we subract the external dimensions by thichness on both sides so 5*2=10

Ashish said:   1 decade ago
How we can say 1.1m as bottom ? it is v=l*b*h.

Vani varma said:   1 decade ago
@ashish.........
3.3 , 2.6 and 1.1 are the length breadth and depth of the cistern respectively..

1.1 is the total depth of the cistern including its thickness....

and the thickness at bottom is vat we need to find out.....

Rahul said:   1 decade ago
Why 8000 is multiplied by 1000?

Prasant said:   1 decade ago
Ans to Rahul: 1 ltr = 1000 cc
Hence, 8000 ltr = 8000X1000 cc

Farri125 said:   1 decade ago
In Question Where he asked to find the thickness of internal?

And Thickness of any object isn't equal to internal thickness? if not so prove, with logical reasoning with example. Thanks.

Efaz said:   1 decade ago
Everything is clear expect that. Why didn't we substract 5cm from 110 cm (the height) , instead we took it as X?

Preetha said:   1 decade ago
Still I didn't get that for what we are multiplying by 1000 with 8000?

Sahi said:   1 decade ago
Volume is given in litres so we convert it into cubic cm by multiplying
it by 1000(because 1 liter = 1000 cubic cm).


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