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12 litres of water are poured into an aquarium of dimensions 50cm leng

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Bunuel
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12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   19 May 2016, 03:05
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12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40
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B
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HungNguyen
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12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   19 May 2016, 03:54
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Bunuel wrote:
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40





we have 1 litre = 1000cm³ (thanks Bunuel)
=>12 litres = 12*1000 = 12000cm³

Let call the height of the water is x
the breadth and length of the water will equal the aquarium
The volume of the water:
50 * 30 * x = 12000cm³
=> x = 12000/(50*30) = 8 cm

Answer is B

Another solution:

Let call the height of the space that doesn't contain water is x

First we must find the volume of the aquarium:
50 * 30 * 40 = 60000 cm³
The volume of the space that doesn't contain water :
60000-12000 = 48000 cm³
The height of the space:
50 * 30 * x = 48000 cm³
=> x = 48000/(50*30) = 32
The height of the water:
the height of the aquarium - x = 40 -32 = 8cm

Answer is B
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   19 May 2016, 10:45
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lXbXh= 12000
h= 12000/50*30= 8 cm

'B' is the answer.
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rohit8865
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   26 Jun 2016, 06:35
Bunuel wrote:
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40

Another approach
V1/V2=h1/h2

V1 & h1 are volume and height of container
V2 & h2 are volume and height of water to be filled
60000/12000=40/h2
h2=40/5=8cm
Ans B
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B
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   04 Sep 2017, 01:30
Sorry can someone please explain the logic behind the concept here because i am not understanding how this 1lt =1000 cm^3 making changes to the answer.
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arvind910619
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   04 Sep 2017, 08:01
longhaul123 wrote:
Sorry can someone please explain the logic behind the concept here because i am not understanding how this 1lt =1000 cm^3 making changes to the answer.

Hi to get the height we have to convert liters into cm^3 .
As we know volume is measure in either liters or cm^3 or m^3
So to have LHS=RHS we should have variables in same quantity.

Conversion of liters to cum^3 is
1 Liters = 1000 Cm^3

Hope it helps
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   03 Aug 2019, 20:02
Bunuel wrote:
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm³)

A. 6
B. 8
C. 10
D. 20
E. 40



Let the height be x
50*30*x=12*1000
x=8

IMO B

Posted from my mobile device
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   26 Aug 2020, 08:15
Expert Reply
Volume = 12 litres = 12 * 1000 = 12,000 \(cm^3\)

Length= 50cm ; Breadth = 30cm

Water rise : \(\frac{12000 }{ {50 * 30}}\)

=> \(\frac{120 }{ 15 }\)

=> 8

Answer B
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink] New post   10 Nov 2023, 17:05
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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng [#permalink]
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