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# A closed rectangular tank contains a certain amount of water. When the

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Joined: 02 Sep 2009
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A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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Updated on: 22 Jul 2019, 06:18
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Difficulty:

5% (low)

Question Stats:

90% (01:06) correct 10% (01:34) wrong based on 51 sessions

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A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft. When the tank is placed on another side of dimensions 4 ft by 5 ft, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

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Difficulty Level: 500

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Originally posted by Bunuel on 02 Apr 2019, 23:37.
Last edited by SajjadAhmad on 22 Jul 2019, 06:18, edited 1 time in total.
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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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Updated on: 12 Apr 2019, 10:03
1
Bunuel wrote:
A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft. When the tank is placed on another side of dimensions 4 ft by 5 ft, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

vol ; l*b*h = 3*4*5
since vol will remain same at all times ; sp
when placed on 4*5 side then h =
4*5*h=3*4*5
h = 3
IMO B

Originally posted by Archit3110 on 03 Apr 2019, 06:54.
Last edited by Archit3110 on 12 Apr 2019, 10:03, edited 1 time in total.
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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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04 Apr 2019, 09:56
Existing volume: 3x4x5= 60

So we need 60 volume for the other as well.
4x5 =20. So height will be 3. Ans B

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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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07 Apr 2019, 18:43
Bunuel wrote:
A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft. When the tank is placed on another side of dimensions 4 ft by 5 ft, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

(3 x 4 x 5)/(4 x 5) = 3

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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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11 Apr 2019, 05:59
For visual learners, you can also approach this without any math.

In red is position 1, in blue is position 2
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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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12 Apr 2019, 09:38
Archit3110 wrote:
Bunuel wrote:
A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft. When the tank is placed on another side of dimensions 4 ft by 5 ft, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

total vol; 2*(lb+bh+lh) ; 2*(12+15+20) ; 94
so now l=5 and = 4
solve we get h= 3
IMO B

Isnt that formula for Surface Area and not Volume????
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Re: A closed rectangular tank contains a certain amount of water. When the  [#permalink]

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12 Apr 2019, 09:49
Archit3110 wrote:
Bunuel wrote:
A closed rectangular tank contains a certain amount of water. When the tank is placed on its 3 ft by 4 ft side, the height of the water in the tank is 5 ft. When the tank is placed on another side of dimensions 4 ft by 5 ft, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

total vol; 2*(lb+bh+lh) ; 2*(12+15+20) ; 94
so now l=5 and = 4
solve we get h= 3
IMO B

That's the formula for the surface area of a cuboid and not its volume.
Re: A closed rectangular tank contains a certain amount of water. When the   [#permalink] 12 Apr 2019, 09:49
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