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A cubical tank is filled with water to a level of 2 feet. If

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A cubical tank is filled with water to a level of 2 feet. If [#permalink] New post 06 Sep 2013, 23:51
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A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 18 cubic feet, to what fraction of its capacity is the tank filled with water?

a) 1/9
b) 2/9
c) 1/3
d) 1/2
e) 2/3
[Reveal] Spoiler: OA

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Last edited by fozzzy on 07 Sep 2013, 05:17, edited 2 times in total.
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 02:16
fozzzy wrote:
A cubical tank is filled with water to a lvel of 2 feet. If the water in the tank occupies 18 feet, to what fraction of its capacity is the tank filled with water?

a) 1/9
b) 2/9
c) 1/3
d) 1/2
e) 2/3


Is 18 the volume in cubic feet?
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 02:45
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Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 03:10
shameekv wrote:
Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)


Can you elaborate on the highlighted portion. How did you get that?
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:14
fozzzy wrote:
shameekv wrote:
Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)


Can you elaborate on the highlighted portion. How did you get that?


Hi,

I have a doubt is the Question is it mentioned as tank is fully filled with water?

It mentioned as water is filled to level of 2 feet so dosen't it mean that water is not fully filled?

And also Formula for cubical Tank volume is = a^3

Rectangular Tank Volume = l*b*h

Please clarify me.

Thanks in advance,
Rrsnathan
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:14
shameekv wrote:
Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)

according to the question 18 ft is the height..the level to which water is filled in the tank..not the volume
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:16
fozzzy wrote:
A cubical tank is filled with water to a lvel of 2 feet. If the water in the tank occupies 18 feet, to what fraction of its capacity is the tank filled with water?

a) 1/9
b) 2/9
c) 1/3
d) 1/2
e) 2/3

What is the source of this question?I am not able to solve it...Experts please help
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:27
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rrsnathan wrote:
fozzzy wrote:
shameekv wrote:
Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)


Can you elaborate on the highlighted portion. How did you get that?


Hi,

I have a doubt is the Question is it mentioned as tank is fully filled with water?

It mentioned as water is filled to level of 2 feet so dosen't it mean that water is not fully filled?

And also Formula for cubical Tank volume is = a^3

Rectangular Tank Volume = l*b*h

Please clarify me.

Thanks in advance,
Rrsnathan


Got this one

2*l*b=18 (As the tank is a cubical l=b=x)
So 2*x^2=18
x^2=9, x=3

Fraction is: Volume of water filled/volume of tank
=2x^2/x^3 (Substitute x=3)
=2/3

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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:48
Quote:
Got this one

2*l*b=18 (As the tank is a cubical l=b=x)
So 2*x^2=18
x^2=9, x=3

Fraction is: Volume of water filled/volume of tank
=2x^2/x^3 (Substitute x=3)
=2/3

Consider kudos if it helped

I have a doubt... why have you taken 18 as the volume ?
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 04:51
fozzzy wrote:
A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 18 feet, to what fraction of its capacity is the tank filled with water?

a) 1/9
b) 2/9
c) 1/3
d) 1/2
e) 2/3


volume is expressed in cubic feet. what is 18 feet here is unclear.
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 05:18
sorry must have been a typo I've edited the question...
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 07 Sep 2013, 05:38
fozzzy wrote:
A cubical tank is filled with water to a level of 2 feet. If the water in the tank occupies 18 cubic feet, to what fraction of its capacity is the tank filled with water?

a) 1/9
b) 2/9
c) 1/3
d) 1/2
e) 2/3

Since its a cubical tank, l=b=h
we know 2*l*b=18
so l*b=9
so l=b=9
also h=9 when tank is filled completely
for completely filled tank l=b=h=3
volume=3*3*3=27

volume of water present=2*3*3=18

fraction=18/27=2/3
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Re: A cubical tank is filled with water to a lvel of 2 feet. If [#permalink] New post 11 Sep 2013, 02:27
fozzzy wrote:
shameekv wrote:
Volume of water in tank h*l*b = 18 sq ft ; h = 2 ; therefore l*b = 9 ; hence l = b = h= 3; total volume = l*b*h = 27 ; hence ration is 18/27 = 2/3 hence E)


Can you elaborate on the highlighted portion. How did you get that?


Considering a cuboid with height = 2 (which will be the height of water in the tank) and length and bredth same as that of the original tank. This cuboid's area is nothing but the volume of water which will be l*b*h = 18 which will be l*b = 9. Now since the original tank is a cube the length, bredth and height are all same thus we get l*b = l*l = 3 each and therefore the original cube's volume as 3*3*3 = 27.

Hope its clear now.
Re: A cubical tank is filled with water to a lvel of 2 feet. If   [#permalink] 11 Sep 2013, 02:27
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