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A metallic cubical box was hammered and moulded into a rectangular box

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A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post 14 Apr 2019, 02:47
1
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (02:01) correct 43% (02:29) wrong based on 23 sessions

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A metallic cubical box was hammered and moulded into a rectangular box such that the only change was that the breadth got tripled. What was the percentage change in total surface area?

A. 33.33%
B. 66.67%
C. 100%
D. 133.33%
E. 200%

Source: Experts Global

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A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post Updated on: 16 Apr 2019, 01:36
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Although the scenario is too hypothetical to think of, wherein just one side of the new cuboid has tripled after hammering and everything else remains unchanged, yet considering the hypothesis to be real the answer goes as below.

Tripling one side of the cuboid the surface area becomes 14x of the original surface area 6x.

Percent Change in Volume=\(\frac{8x}{6x}*100\) = 133.33%

Hence, the answer is D
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Originally posted by themindful on 14 Apr 2019, 03:06.
Last edited by themindful on 16 Apr 2019, 01:36, edited 1 time in total.
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A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post 15 Apr 2019, 02:10
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themindful wrote:
Although the scenario is too hypothetical to think of, wherein just one side of the new cuboid has tripled after hammering and everything else remains unchanged, yet considering the hypothesis to be real the answer goes as below.

Tripling one side of the cuboid the volume become 3x of the original volume x.

Change in Volume=\(\frac{(3x-x)}{x}*100\) = 200%

Hence, the answer is E


I think the answer is D. They have asked change in surface area and not volume

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Re: A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post 15 Apr 2019, 12:28
Hi the question stem asks % change in surface area.

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Re: A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post 15 Apr 2019, 12:30
Will the answer be option D

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Re: A metallic cubical box was hammered and moulded into a rectangular box  [#permalink]

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New post 16 Apr 2019, 01:39
Sanjeetgujrall wrote:
themindful wrote:
Although the scenario is too hypothetical to think of, wherein just one side of the new cuboid has tripled after hammering and everything else remains unchanged, yet considering the hypothesis to be real the answer goes as below.

Tripling one side of the cuboid the volume become 3x of the original volume x.

Change in Volume=\(\frac{(3x-x)}{x}*100\) = 200%

Hence, the answer is E


I think the answer is D. They have asked change in surface area and not volume

Posted from my mobile device

Thanks for highlighting. Updated my response. My bad :)
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Re: A metallic cubical box was hammered and moulded into a rectangular box   [#permalink] 16 Apr 2019, 01:39
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A metallic cubical box was hammered and moulded into a rectangular box

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