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

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Math Expert
Joined: 02 Sep 2009
Posts: 59623
12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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19 May 2016, 03:05
00:00

Difficulty:

15% (low)

Question Stats:

76% (01:38) correct 24% (01:02) wrong based on 67 sessions

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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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Joined: 07 May 2016
Posts: 25
12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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19 May 2016, 03:54
1
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]

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19 May 2016, 10:45
lXbXh= 12000
h= 12000/50*30= 8 cm

'B' is the answer.
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Joined: 05 Mar 2015
Posts: 978
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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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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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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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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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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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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Joined: 03 Jun 2019
Posts: 1880
Location: India
Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng  [#permalink]

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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

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Re: 12 litres of water are poured into an aquarium of dimensions 50cm leng   [#permalink] 03 Aug 2019, 20:02
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# 12 litres of water are poured into an aquarium of dimensions 50cm leng

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